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Simplifying 2(4 + -1x) + -5(x + -2) = -6 + -6x (4 * 2 + -1x * 2) + -5(x + -2) = -6 + -6x (8 + -2x) + -5(x + -2) = -6 + -6x Reorder the terms: 8 + -2x + -5(-2 + x) = -6 + -6x 8 + -2x + (-2 * -5 + x * -5) = -6 + -6x 8 + -2x + (10 + -5x) = -6 + -6x Reorder the terms: 8 + 10 + -2x + -5x = -6 + -6x Combine like terms: 8 + 10 = 18 18 + -2x + -5x = -6 + -6x Combine like terms: -2x + -5x = -7x 18 + -7x = -6 + -6x Solving 18 + -7x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 18 + -7x + 6x = -6 + -6x + 6x Combine like terms: -7x + 6x = -1x 18 + -1x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 18 + -1x = -6 + 0 18 + -1x = -6 Add '-18' to each side of the equation. 18 + -18 + -1x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = -6 + -18 -1x = -6 + -18 Combine like terms: -6 + -18 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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