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