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Simplifying -1(4x + -4) + -1(3x + -4) + 6 = -7(x + -5) + -1(4x + 6) + 8 Reorder the terms: -1(-4 + 4x) + -1(3x + -4) + 6 = -7(x + -5) + -1(4x + 6) + 8 (-4 * -1 + 4x * -1) + -1(3x + -4) + 6 = -7(x + -5) + -1(4x + 6) + 8 (4 + -4x) + -1(3x + -4) + 6 = -7(x + -5) + -1(4x + 6) + 8 Reorder the terms: 4 + -4x + -1(-4 + 3x) + 6 = -7(x + -5) + -1(4x + 6) + 8 4 + -4x + (-4 * -1 + 3x * -1) + 6 = -7(x + -5) + -1(4x + 6) + 8 4 + -4x + (4 + -3x) + 6 = -7(x + -5) + -1(4x + 6) + 8 Reorder the terms: 4 + 4 + 6 + -4x + -3x = -7(x + -5) + -1(4x + 6) + 8 Combine like terms: 4 + 4 = 8 8 + 6 + -4x + -3x = -7(x + -5) + -1(4x + 6) + 8 Combine like terms: 8 + 6 = 14 14 + -4x + -3x = -7(x + -5) + -1(4x + 6) + 8 Combine like terms: -4x + -3x = -7x 14 + -7x = -7(x + -5) + -1(4x + 6) + 8 Reorder the terms: 14 + -7x = -7(-5 + x) + -1(4x + 6) + 8 14 + -7x = (-5 * -7 + x * -7) + -1(4x + 6) + 8 14 + -7x = (35 + -7x) + -1(4x + 6) + 8 Reorder the terms: 14 + -7x = 35 + -7x + -1(6 + 4x) + 8 14 + -7x = 35 + -7x + (6 * -1 + 4x * -1) + 8 14 + -7x = 35 + -7x + (-6 + -4x) + 8 Reorder the terms: 14 + -7x = 35 + -6 + 8 + -7x + -4x Combine like terms: 35 + -6 = 29 14 + -7x = 29 + 8 + -7x + -4x Combine like terms: 29 + 8 = 37 14 + -7x = 37 + -7x + -4x Combine like terms: -7x + -4x = -11x 14 + -7x = 37 + -11x Solving 14 + -7x = 37 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 14 + -7x + 11x = 37 + -11x + 11x Combine like terms: -7x + 11x = 4x 14 + 4x = 37 + -11x + 11x Combine like terms: -11x + 11x = 0 14 + 4x = 37 + 0 14 + 4x = 37 Add '-14' to each side of the equation. 14 + -14 + 4x = 37 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 37 + -14 4x = 37 + -14 Combine like terms: 37 + -14 = 23 4x = 23 Divide each side by '4'. x = 5.75 Simplifying x = 5.75
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