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Simplifying 2(4x + 9) = -10(x + -3) Reorder the terms: 2(9 + 4x) = -10(x + -3) (9 * 2 + 4x * 2) = -10(x + -3) (18 + 8x) = -10(x + -3) Reorder the terms: 18 + 8x = -10(-3 + x) 18 + 8x = (-3 * -10 + x * -10) 18 + 8x = (30 + -10x) Solving 18 + 8x = 30 + -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. 18 + 8x + 10x = 30 + -10x + 10x Combine like terms: 8x + 10x = 18x 18 + 18x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 18 + 18x = 30 + 0 18 + 18x = 30 Add '-18' to each side of the equation. 18 + -18 + 18x = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 18x = 30 + -18 18x = 30 + -18 Combine like terms: 30 + -18 = 12 18x = 12 Divide each side by '18'. x = 0.6666666667 Simplifying x = 0.6666666667
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