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Simplifying 5(x + 4) + 2x = 3(5x + -4) + -10x Reorder the terms: 5(4 + x) + 2x = 3(5x + -4) + -10x (4 * 5 + x * 5) + 2x = 3(5x + -4) + -10x (20 + 5x) + 2x = 3(5x + -4) + -10x Combine like terms: 5x + 2x = 7x 20 + 7x = 3(5x + -4) + -10x Reorder the terms: 20 + 7x = 3(-4 + 5x) + -10x 20 + 7x = (-4 * 3 + 5x * 3) + -10x 20 + 7x = (-12 + 15x) + -10x Combine like terms: 15x + -10x = 5x 20 + 7x = -12 + 5x Solving 20 + 7x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + 7x + -5x = -12 + 5x + -5x Combine like terms: 7x + -5x = 2x 20 + 2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 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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