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Simplifying -3(x + 6) + 4 = -5(2 + -1x) + -3 Reorder the terms: -3(6 + x) + 4 = -5(2 + -1x) + -3 (6 * -3 + x * -3) + 4 = -5(2 + -1x) + -3 (-18 + -3x) + 4 = -5(2 + -1x) + -3 Reorder the terms: -18 + 4 + -3x = -5(2 + -1x) + -3 Combine like terms: -18 + 4 = -14 -14 + -3x = -5(2 + -1x) + -3 -14 + -3x = (2 * -5 + -1x * -5) + -3 -14 + -3x = (-10 + 5x) + -3 Reorder the terms: -14 + -3x = -10 + -3 + 5x Combine like terms: -10 + -3 = -13 -14 + -3x = -13 + 5x Solving -14 + -3x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + -3x + -5x = -13 + 5x + -5x Combine like terms: -3x + -5x = -8x -14 + -8x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -8x = -13 + 0 -14 + -8x = -13 Add '14' to each side of the equation. -14 + 14 + -8x = -13 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = -13 + 14 -8x = -13 + 14 Combine like terms: -13 + 14 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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