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Simplifying 10 + 5(2 + -1x) = -3(x + 4) 10 + (2 * 5 + -1x * 5) = -3(x + 4) 10 + (10 + -5x) = -3(x + 4) Combine like terms: 10 + 10 = 20 20 + -5x = -3(x + 4) Reorder the terms: 20 + -5x = -3(4 + x) 20 + -5x = (4 * -3 + x * -3) 20 + -5x = (-12 + -3x) Solving 20 + -5x = -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. 20 + -5x + 3x = -12 + -3x + 3x Combine like terms: -5x + 3x = -2x 20 + -2x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + -2x = -12 + 0 20 + -2x = -12 Add '-20' to each side of the equation. 20 + -20 + -2x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = -12 + -20 -2x = -12 + -20 Combine like terms: -12 + -20 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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