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Simplifying 0 = 5(2 + -1x) + 3(5x + -4) 0 = (2 * 5 + -1x * 5) + 3(5x + -4) 0 = (10 + -5x) + 3(5x + -4) Reorder the terms: 0 = 10 + -5x + 3(-4 + 5x) 0 = 10 + -5x + (-4 * 3 + 5x * 3) 0 = 10 + -5x + (-12 + 15x) Reorder the terms: 0 = 10 + -12 + -5x + 15x Combine like terms: 10 + -12 = -2 0 = -2 + -5x + 15x Combine like terms: -5x + 15x = 10x 0 = -2 + 10x Solving 0 = -2 + 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. 0 + -10x = -2 + 10x + -10x Remove the zero: -10x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -10x = -2 + 0 -10x = -2 Divide each side by '-10'. x = 0.2 Simplifying x = 0.2
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