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Simplifying -1(2x + -5) + -1(2x + -5) + 4 = 6(x + -1) + -1(2x + 7) + 3 Reorder the terms: -1(-5 + 2x) + -1(2x + -5) + 4 = 6(x + -1) + -1(2x + 7) + 3 (-5 * -1 + 2x * -1) + -1(2x + -5) + 4 = 6(x + -1) + -1(2x + 7) + 3 (5 + -2x) + -1(2x + -5) + 4 = 6(x + -1) + -1(2x + 7) + 3 Reorder the terms: 5 + -2x + -1(-5 + 2x) + 4 = 6(x + -1) + -1(2x + 7) + 3 5 + -2x + (-5 * -1 + 2x * -1) + 4 = 6(x + -1) + -1(2x + 7) + 3 5 + -2x + (5 + -2x) + 4 = 6(x + -1) + -1(2x + 7) + 3 Reorder the terms: 5 + 5 + 4 + -2x + -2x = 6(x + -1) + -1(2x + 7) + 3 Combine like terms: 5 + 5 = 10 10 + 4 + -2x + -2x = 6(x + -1) + -1(2x + 7) + 3 Combine like terms: 10 + 4 = 14 14 + -2x + -2x = 6(x + -1) + -1(2x + 7) + 3 Combine like terms: -2x + -2x = -4x 14 + -4x = 6(x + -1) + -1(2x + 7) + 3 Reorder the terms: 14 + -4x = 6(-1 + x) + -1(2x + 7) + 3 14 + -4x = (-1 * 6 + x * 6) + -1(2x + 7) + 3 14 + -4x = (-6 + 6x) + -1(2x + 7) + 3 Reorder the terms: 14 + -4x = -6 + 6x + -1(7 + 2x) + 3 14 + -4x = -6 + 6x + (7 * -1 + 2x * -1) + 3 14 + -4x = -6 + 6x + (-7 + -2x) + 3 Reorder the terms: 14 + -4x = -6 + -7 + 3 + 6x + -2x Combine like terms: -6 + -7 = -13 14 + -4x = -13 + 3 + 6x + -2x Combine like terms: -13 + 3 = -10 14 + -4x = -10 + 6x + -2x Combine like terms: 6x + -2x = 4x 14 + -4x = -10 + 4x Solving 14 + -4x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + -4x + -4x = -10 + 4x + -4x Combine like terms: -4x + -4x = -8x 14 + -8x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -8x = -10 + 0 14 + -8x = -10 Add '-14' to each side of the equation. 14 + -14 + -8x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = -10 + -14 -8x = -10 + -14 Combine like terms: -10 + -14 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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