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Simplifying 56 + -31x + (28 + 7x) = 25x + -1(12 + x) Remove parenthesis around (28 + 7x) 56 + -31x + 28 + 7x = 25x + -1(12 + x) Reorder the terms: 56 + 28 + -31x + 7x = 25x + -1(12 + x) Combine like terms: 56 + 28 = 84 84 + -31x + 7x = 25x + -1(12 + x) Combine like terms: -31x + 7x = -24x 84 + -24x = 25x + -1(12 + x) 84 + -24x = 25x + (12 * -1 + x * -1) 84 + -24x = 25x + (-12 + -1x) Reorder the terms: 84 + -24x = -12 + 25x + -1x Combine like terms: 25x + -1x = 24x 84 + -24x = -12 + 24x Solving 84 + -24x = -12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 84 + -24x + -24x = -12 + 24x + -24x Combine like terms: -24x + -24x = -48x 84 + -48x = -12 + 24x + -24x Combine like terms: 24x + -24x = 0 84 + -48x = -12 + 0 84 + -48x = -12 Add '-84' to each side of the equation. 84 + -84 + -48x = -12 + -84 Combine like terms: 84 + -84 = 0 0 + -48x = -12 + -84 -48x = -12 + -84 Combine like terms: -12 + -84 = -96 -48x = -96 Divide each side by '-48'. x = 2 Simplifying x = 2
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