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Simplifying 2x + -1(x + -5) + 3(x + -1) = 12 Reorder the terms: 2x + -1(-5 + x) + 3(x + -1) = 12 2x + (-5 * -1 + x * -1) + 3(x + -1) = 12 2x + (5 + -1x) + 3(x + -1) = 12 Reorder the terms: 2x + 5 + -1x + 3(-1 + x) = 12 2x + 5 + -1x + (-1 * 3 + x * 3) = 12 2x + 5 + -1x + (-3 + 3x) = 12 Reorder the terms: 5 + -3 + 2x + -1x + 3x = 12 Combine like terms: 5 + -3 = 2 2 + 2x + -1x + 3x = 12 Combine like terms: 2x + -1x = 1x 2 + 1x + 3x = 12 Combine like terms: 1x + 3x = 4x 2 + 4x = 12 Solving 2 + 4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 12 + -2 4x = 12 + -2 Combine like terms: 12 + -2 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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