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Simplifying 1 + 5(2x + -1) = -2(5x + -4) + 2x Reorder the terms: 1 + 5(-1 + 2x) = -2(5x + -4) + 2x 1 + (-1 * 5 + 2x * 5) = -2(5x + -4) + 2x 1 + (-5 + 10x) = -2(5x + -4) + 2x Combine like terms: 1 + -5 = -4 -4 + 10x = -2(5x + -4) + 2x Reorder the terms: -4 + 10x = -2(-4 + 5x) + 2x -4 + 10x = (-4 * -2 + 5x * -2) + 2x -4 + 10x = (8 + -10x) + 2x Combine like terms: -10x + 2x = -8x -4 + 10x = 8 + -8x Solving -4 + 10x = 8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -4 + 10x + 8x = 8 + -8x + 8x Combine like terms: 10x + 8x = 18x -4 + 18x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 18x = 8 + 0 -4 + 18x = 8 Add '4' to each side of the equation. -4 + 4 + 18x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = 8 + 4 18x = 8 + 4 Combine like terms: 8 + 4 = 12 18x = 12 Divide each side by '18'. x = 0.6666666667 Simplifying x = 0.6666666667
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