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Simplifying 2(3 + -4x) + -5(2x + 1) = 5x + -2 (3 * 2 + -4x * 2) + -5(2x + 1) = 5x + -2 (6 + -8x) + -5(2x + 1) = 5x + -2 Reorder the terms: 6 + -8x + -5(1 + 2x) = 5x + -2 6 + -8x + (1 * -5 + 2x * -5) = 5x + -2 6 + -8x + (-5 + -10x) = 5x + -2 Reorder the terms: 6 + -5 + -8x + -10x = 5x + -2 Combine like terms: 6 + -5 = 1 1 + -8x + -10x = 5x + -2 Combine like terms: -8x + -10x = -18x 1 + -18x = 5x + -2 Reorder the terms: 1 + -18x = -2 + 5x Solving 1 + -18x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + -18x + -5x = -2 + 5x + -5x Combine like terms: -18x + -5x = -23x 1 + -23x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -23x = -2 + 0 1 + -23x = -2 Add '-1' to each side of the equation. 1 + -1 + -23x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -23x = -2 + -1 -23x = -2 + -1 Combine like terms: -2 + -1 = -3 -23x = -3 Divide each side by '-23'. x = 0.1304347826 Simplifying x = 0.1304347826
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