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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 = 13 -8x = 13 Divide each side by '-8'. x = -1.625 Simplifying x = -1.625
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