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Simplifying 10x + 5(20 + -1x) = 3(4x + -4) 10x + (20 * 5 + -1x * 5) = 3(4x + -4) 10x + (100 + -5x) = 3(4x + -4) Reorder the terms: 100 + 10x + -5x = 3(4x + -4) Combine like terms: 10x + -5x = 5x 100 + 5x = 3(4x + -4) Reorder the terms: 100 + 5x = 3(-4 + 4x) 100 + 5x = (-4 * 3 + 4x * 3) 100 + 5x = (-12 + 12x) Solving 100 + 5x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 100 + 5x + -12x = -12 + 12x + -12x Combine like terms: 5x + -12x = -7x 100 + -7x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 100 + -7x = -12 + 0 100 + -7x = -12 Add '-100' to each side of the equation. 100 + -100 + -7x = -12 + -100 Combine like terms: 100 + -100 = 0 0 + -7x = -12 + -100 -7x = -12 + -100 Combine like terms: -12 + -100 = -112 -7x = -112 Divide each side by '-7'. x = 16 Simplifying x = 16
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