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Simplifying 4(x + -4) + 2 = 5(x + -1) Reorder the terms: 4(-4 + x) + 2 = 5(x + -1) (-4 * 4 + x * 4) + 2 = 5(x + -1) (-16 + 4x) + 2 = 5(x + -1) Reorder the terms: -16 + 2 + 4x = 5(x + -1) Combine like terms: -16 + 2 = -14 -14 + 4x = 5(x + -1) Reorder the terms: -14 + 4x = 5(-1 + x) -14 + 4x = (-1 * 5 + x * 5) -14 + 4x = (-5 + 5x) Solving -14 + 4x = -5 + 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 + 4x + -5x = -5 + 5x + -5x Combine like terms: 4x + -5x = -1x -14 + -1x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -1x = -5 + 0 -14 + -1x = -5 Add '14' to each side of the equation. -14 + 14 + -1x = -5 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -5 + 14 -1x = -5 + 14 Combine like terms: -5 + 14 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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