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