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Simplifying 4x + -1(2x + -8) = 5(1 + 2x) Reorder the terms: 4x + -1(-8 + 2x) = 5(1 + 2x) 4x + (-8 * -1 + 2x * -1) = 5(1 + 2x) 4x + (8 + -2x) = 5(1 + 2x) Reorder the terms: 8 + 4x + -2x = 5(1 + 2x) Combine like terms: 4x + -2x = 2x 8 + 2x = 5(1 + 2x) 8 + 2x = (1 * 5 + 2x * 5) 8 + 2x = (5 + 10x) Solving 8 + 2x = 5 + 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. 8 + 2x + -10x = 5 + 10x + -10x Combine like terms: 2x + -10x = -8x 8 + -8x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -8x = 5 + 0 8 + -8x = 5 Add '-8' to each side of the equation. 8 + -8 + -8x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 5 + -8 -8x = 5 + -8 Combine like terms: 5 + -8 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375
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