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Simplifying 5(x + -1) = 2x + 4(2x + 1) Reorder the terms: 5(-1 + x) = 2x + 4(2x + 1) (-1 * 5 + x * 5) = 2x + 4(2x + 1) (-5 + 5x) = 2x + 4(2x + 1) Reorder the terms: -5 + 5x = 2x + 4(1 + 2x) -5 + 5x = 2x + (1 * 4 + 2x * 4) -5 + 5x = 2x + (4 + 8x) Reorder the terms: -5 + 5x = 4 + 2x + 8x Combine like terms: 2x + 8x = 10x -5 + 5x = 4 + 10x Solving -5 + 5x = 4 + 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. -5 + 5x + -10x = 4 + 10x + -10x Combine like terms: 5x + -10x = -5x -5 + -5x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -5x = 4 + 0 -5 + -5x = 4 Add '5' to each side of the equation. -5 + 5 + -5x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 4 + 5 -5x = 4 + 5 Combine like terms: 4 + 5 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8
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