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Simplifying 2(2 + -5x) = -3(x + 6) (2 * 2 + -5x * 2) = -3(x + 6) (4 + -10x) = -3(x + 6) Reorder the terms: 4 + -10x = -3(6 + x) 4 + -10x = (6 * -3 + x * -3) 4 + -10x = (-18 + -3x) Solving 4 + -10x = -18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + -10x + 3x = -18 + -3x + 3x Combine like terms: -10x + 3x = -7x 4 + -7x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + -7x = -18 + 0 4 + -7x = -18 Add '-4' to each side of the equation. 4 + -4 + -7x = -18 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -18 + -4 -7x = -18 + -4 Combine like terms: -18 + -4 = -22 -7x = -22 Divide each side by '-7'. x = 3.142857143 Simplifying x = 3.142857143
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