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Simplifying 2(x + 1) = 5x + -1(2 + -1x) Reorder the terms: 2(1 + x) = 5x + -1(2 + -1x) (1 * 2 + x * 2) = 5x + -1(2 + -1x) (2 + 2x) = 5x + -1(2 + -1x) 2 + 2x = 5x + (2 * -1 + -1x * -1) 2 + 2x = 5x + (-2 + 1x) Reorder the terms: 2 + 2x = -2 + 5x + 1x Combine like terms: 5x + 1x = 6x 2 + 2x = -2 + 6x Solving 2 + 2x = -2 + 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. 2 + 2x + -6x = -2 + 6x + -6x Combine like terms: 2x + -6x = -4x 2 + -4x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -4x = -2 + 0 2 + -4x = -2 Add '-2' to each side of the equation. 2 + -2 + -4x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -2 + -2 -4x = -2 + -2 Combine like terms: -2 + -2 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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