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Simplifying -1(x + 1) + 4(1 + x) = -4x + 10x Reorder the terms: -1(1 + x) + 4(1 + x) = -4x + 10x (1 * -1 + x * -1) + 4(1 + x) = -4x + 10x (-1 + -1x) + 4(1 + x) = -4x + 10x -1 + -1x + (1 * 4 + x * 4) = -4x + 10x -1 + -1x + (4 + 4x) = -4x + 10x Reorder the terms: -1 + 4 + -1x + 4x = -4x + 10x Combine like terms: -1 + 4 = 3 3 + -1x + 4x = -4x + 10x Combine like terms: -1x + 4x = 3x 3 + 3x = -4x + 10x Combine like terms: -4x + 10x = 6x 3 + 3x = 6x Solving 3 + 3x = 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. 3 + 3x + -6x = 6x + -6x Combine like terms: 3x + -6x = -3x 3 + -3x = 6x + -6x Combine like terms: 6x + -6x = 0 3 + -3x = 0 Add '-3' to each side of the equation. 3 + -3 + -3x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 0 + -3 -3x = 0 + -3 Combine like terms: 0 + -3 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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