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Simplifying 2(1 + -1x) + 5 = 2x + -1 (1 * 2 + -1x * 2) + 5 = 2x + -1 (2 + -2x) + 5 = 2x + -1 Reorder the terms: 2 + 5 + -2x = 2x + -1 Combine like terms: 2 + 5 = 7 7 + -2x = 2x + -1 Reorder the terms: 7 + -2x = -1 + 2x Solving 7 + -2x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -2x + -2x = -1 + 2x + -2x Combine like terms: -2x + -2x = -4x 7 + -4x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -4x = -1 + 0 7 + -4x = -1 Add '-7' to each side of the equation. 7 + -7 + -4x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -1 + -7 -4x = -1 + -7 Combine like terms: -1 + -7 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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