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Simplifying 4(x + 1) = 5x + -2(7 + -1x) Reorder the terms: 4(1 + x) = 5x + -2(7 + -1x) (1 * 4 + x * 4) = 5x + -2(7 + -1x) (4 + 4x) = 5x + -2(7 + -1x) 4 + 4x = 5x + (7 * -2 + -1x * -2) 4 + 4x = 5x + (-14 + 2x) Reorder the terms: 4 + 4x = -14 + 5x + 2x Combine like terms: 5x + 2x = 7x 4 + 4x = -14 + 7x Solving 4 + 4x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 4x + -7x = -14 + 7x + -7x Combine like terms: 4x + -7x = -3x 4 + -3x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -3x = -14 + 0 4 + -3x = -14 Add '-4' to each side of the equation. 4 + -4 + -3x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -14 + -4 -3x = -14 + -4 Combine like terms: -14 + -4 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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