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Simplifying 2 + -1(x + -10) = -4 + 3(x + 5) Reorder the terms: 2 + -1(-10 + x) = -4 + 3(x + 5) 2 + (-10 * -1 + x * -1) = -4 + 3(x + 5) 2 + (10 + -1x) = -4 + 3(x + 5) Combine like terms: 2 + 10 = 12 12 + -1x = -4 + 3(x + 5) Reorder the terms: 12 + -1x = -4 + 3(5 + x) 12 + -1x = -4 + (5 * 3 + x * 3) 12 + -1x = -4 + (15 + 3x) Combine like terms: -4 + 15 = 11 12 + -1x = 11 + 3x Solving 12 + -1x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -1x + -3x = 11 + 3x + -3x Combine like terms: -1x + -3x = -4x 12 + -4x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -4x = 11 + 0 12 + -4x = 11 Add '-12' to each side of the equation. 12 + -12 + -4x = 11 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 11 + -12 -4x = 11 + -12 Combine like terms: 11 + -12 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25
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