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Simplifying 2(7x + -9) = 3(8x + -1) Reorder the terms: 2(-9 + 7x) = 3(8x + -1) (-9 * 2 + 7x * 2) = 3(8x + -1) (-18 + 14x) = 3(8x + -1) Reorder the terms: -18 + 14x = 3(-1 + 8x) -18 + 14x = (-1 * 3 + 8x * 3) -18 + 14x = (-3 + 24x) Solving -18 + 14x = -3 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -18 + 14x + -24x = -3 + 24x + -24x Combine like terms: 14x + -24x = -10x -18 + -10x = -3 + 24x + -24x Combine like terms: 24x + -24x = 0 -18 + -10x = -3 + 0 -18 + -10x = -3 Add '18' to each side of the equation. -18 + 18 + -10x = -3 + 18 Combine like terms: -18 + 18 = 0 0 + -10x = -3 + 18 -10x = -3 + 18 Combine like terms: -3 + 18 = 15 -10x = 15 Divide each side by '-10'. x = -1.5 Simplifying x = -1.5
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