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Simplifying 5 + -1(3x + -10) = 12 + (x + -2) Reorder the terms: 5 + -1(-10 + 3x) = 12 + (x + -2) 5 + (-10 * -1 + 3x * -1) = 12 + (x + -2) 5 + (10 + -3x) = 12 + (x + -2) Combine like terms: 5 + 10 = 15 15 + -3x = 12 + (x + -2) Reorder the terms: 15 + -3x = 12 + (-2 + x) Remove parenthesis around (-2 + x) 15 + -3x = 12 + -2 + x Combine like terms: 12 + -2 = 10 15 + -3x = 10 + x Solving 15 + -3x = 10 + x 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. 15 + -3x + -1x = 10 + x + -1x Combine like terms: -3x + -1x = -4x 15 + -4x = 10 + x + -1x Combine like terms: x + -1x = 0 15 + -4x = 10 + 0 15 + -4x = 10 Add '-15' to each side of the equation. 15 + -15 + -4x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 10 + -15 -4x = 10 + -15 Combine like terms: 10 + -15 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25
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