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Simplifying -1(8x + -5) + -1(6x + -6) + 4 = -4(x + -1) + -1(14x + 4) + 3 Reorder the terms: -1(-5 + 8x) + -1(6x + -6) + 4 = -4(x + -1) + -1(14x + 4) + 3 (-5 * -1 + 8x * -1) + -1(6x + -6) + 4 = -4(x + -1) + -1(14x + 4) + 3 (5 + -8x) + -1(6x + -6) + 4 = -4(x + -1) + -1(14x + 4) + 3 Reorder the terms: 5 + -8x + -1(-6 + 6x) + 4 = -4(x + -1) + -1(14x + 4) + 3 5 + -8x + (-6 * -1 + 6x * -1) + 4 = -4(x + -1) + -1(14x + 4) + 3 5 + -8x + (6 + -6x) + 4 = -4(x + -1) + -1(14x + 4) + 3 Reorder the terms: 5 + 6 + 4 + -8x + -6x = -4(x + -1) + -1(14x + 4) + 3 Combine like terms: 5 + 6 = 11 11 + 4 + -8x + -6x = -4(x + -1) + -1(14x + 4) + 3 Combine like terms: 11 + 4 = 15 15 + -8x + -6x = -4(x + -1) + -1(14x + 4) + 3 Combine like terms: -8x + -6x = -14x 15 + -14x = -4(x + -1) + -1(14x + 4) + 3 Reorder the terms: 15 + -14x = -4(-1 + x) + -1(14x + 4) + 3 15 + -14x = (-1 * -4 + x * -4) + -1(14x + 4) + 3 15 + -14x = (4 + -4x) + -1(14x + 4) + 3 Reorder the terms: 15 + -14x = 4 + -4x + -1(4 + 14x) + 3 15 + -14x = 4 + -4x + (4 * -1 + 14x * -1) + 3 15 + -14x = 4 + -4x + (-4 + -14x) + 3 Reorder the terms: 15 + -14x = 4 + -4 + 3 + -4x + -14x Combine like terms: 4 + -4 = 0 15 + -14x = 0 + 3 + -4x + -14x 15 + -14x = 3 + -4x + -14x Combine like terms: -4x + -14x = -18x 15 + -14x = 3 + -18x Solving 15 + -14x = 3 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 15 + -14x + 18x = 3 + -18x + 18x Combine like terms: -14x + 18x = 4x 15 + 4x = 3 + -18x + 18x Combine like terms: -18x + 18x = 0 15 + 4x = 3 + 0 15 + 4x = 3 Add '-15' to each side of the equation. 15 + -15 + 4x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 3 + -15 4x = 3 + -15 Combine like terms: 3 + -15 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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