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Simplifying -4x + 7 = 2 + -1(x + 1) Reorder the terms: 7 + -4x = 2 + -1(x + 1) Reorder the terms: 7 + -4x = 2 + -1(1 + x) 7 + -4x = 2 + (1 * -1 + x * -1) 7 + -4x = 2 + (-1 + -1x) Combine like terms: 2 + -1 = 1 7 + -4x = 1 + -1x Solving 7 + -4x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + -4x + x = 1 + -1x + x Combine like terms: -4x + x = -3x 7 + -3x = 1 + -1x + x Combine like terms: -1x + x = 0 7 + -3x = 1 + 0 7 + -3x = 1 Add '-7' to each side of the equation. 7 + -7 + -3x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 1 + -7 -3x = 1 + -7 Combine like terms: 1 + -7 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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