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Simplifying 12 + -1(3x + -7) = 2x + -1(x + -1) Reorder the terms: 12 + -1(-7 + 3x) = 2x + -1(x + -1) 12 + (-7 * -1 + 3x * -1) = 2x + -1(x + -1) 12 + (7 + -3x) = 2x + -1(x + -1) Combine like terms: 12 + 7 = 19 19 + -3x = 2x + -1(x + -1) Reorder the terms: 19 + -3x = 2x + -1(-1 + x) 19 + -3x = 2x + (-1 * -1 + x * -1) 19 + -3x = 2x + (1 + -1x) Reorder the terms: 19 + -3x = 1 + 2x + -1x Combine like terms: 2x + -1x = 1x 19 + -3x = 1 + 1x Solving 19 + -3x = 1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 19 + -3x + -1x = 1 + 1x + -1x Combine like terms: -3x + -1x = -4x 19 + -4x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 19 + -4x = 1 + 0 19 + -4x = 1 Add '-19' to each side of the equation. 19 + -19 + -4x = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 1 + -19 -4x = 1 + -19 Combine like terms: 1 + -19 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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