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Simplifying 5(-3x + 2) = 8(2x + -4) + -1x Reorder the terms: 5(2 + -3x) = 8(2x + -4) + -1x (2 * 5 + -3x * 5) = 8(2x + -4) + -1x (10 + -15x) = 8(2x + -4) + -1x Reorder the terms: 10 + -15x = 8(-4 + 2x) + -1x 10 + -15x = (-4 * 8 + 2x * 8) + -1x 10 + -15x = (-32 + 16x) + -1x Combine like terms: 16x + -1x = 15x 10 + -15x = -32 + 15x Solving 10 + -15x = -32 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10 + -15x + -15x = -32 + 15x + -15x Combine like terms: -15x + -15x = -30x 10 + -30x = -32 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -30x = -32 + 0 10 + -30x = -32 Add '-10' to each side of the equation. 10 + -10 + -30x = -32 + -10 Combine like terms: 10 + -10 = 0 0 + -30x = -32 + -10 -30x = -32 + -10 Combine like terms: -32 + -10 = -42 -30x = -42 Divide each side by '-30'. x = 1.4 Simplifying x = 1.4
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