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Simplifying 1(10 + -1x) = 3(x + 4) (10 * 1 + -1x * 1) = 3(x + 4) (10 + -1x) = 3(x + 4) Reorder the terms: 10 + -1x = 3(4 + x) 10 + -1x = (4 * 3 + x * 3) 10 + -1x = (12 + 3x) Solving 10 + -1x = 12 + 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 + -1x + -3x = 12 + 3x + -3x Combine like terms: -1x + -3x = -4x 10 + -4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -4x = 12 + 0 10 + -4x = 12 Add '-10' to each side of the equation. 10 + -10 + -4x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 12 + -10 -4x = 12 + -10 Combine like terms: 12 + -10 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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