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Simplifying 5(2 + -1x) = 12 + -1(3x + 4) (2 * 5 + -1x * 5) = 12 + -1(3x + 4) (10 + -5x) = 12 + -1(3x + 4) Reorder the terms: 10 + -5x = 12 + -1(4 + 3x) 10 + -5x = 12 + (4 * -1 + 3x * -1) 10 + -5x = 12 + (-4 + -3x) Combine like terms: 12 + -4 = 8 10 + -5x = 8 + -3x Solving 10 + -5x = 8 + -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. 10 + -5x + 3x = 8 + -3x + 3x Combine like terms: -5x + 3x = -2x 10 + -2x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -2x = 8 + 0 10 + -2x = 8 Add '-10' to each side of the equation. 10 + -10 + -2x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 8 + -10 -2x = 8 + -10 Combine like terms: 8 + -10 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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