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Simplifying 80 = 2(x + 2) + 2(4x + -10) Reorder the terms: 80 = 2(2 + x) + 2(4x + -10) 80 = (2 * 2 + x * 2) + 2(4x + -10) 80 = (4 + 2x) + 2(4x + -10) Reorder the terms: 80 = 4 + 2x + 2(-10 + 4x) 80 = 4 + 2x + (-10 * 2 + 4x * 2) 80 = 4 + 2x + (-20 + 8x) Reorder the terms: 80 = 4 + -20 + 2x + 8x Combine like terms: 4 + -20 = -16 80 = -16 + 2x + 8x Combine like terms: 2x + 8x = 10x 80 = -16 + 10x Solving 80 = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 80 + -10x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 80 + -10x = -16 + 0 80 + -10x = -16 Add '-80' to each side of the equation. 80 + -80 + -10x = -16 + -80 Combine like terms: 80 + -80 = 0 0 + -10x = -16 + -80 -10x = -16 + -80 Combine like terms: -16 + -80 = -96 -10x = -96 Divide each side by '-10'. x = 9.6 Simplifying x = 9.6
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