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Simplifying 8(2x + -3) = 3(2x + -9) Reorder the terms: 8(-3 + 2x) = 3(2x + -9) (-3 * 8 + 2x * 8) = 3(2x + -9) (-24 + 16x) = 3(2x + -9) Reorder the terms: -24 + 16x = 3(-9 + 2x) -24 + 16x = (-9 * 3 + 2x * 3) -24 + 16x = (-27 + 6x) Solving -24 + 16x = -27 + 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. -24 + 16x + -6x = -27 + 6x + -6x Combine like terms: 16x + -6x = 10x -24 + 10x = -27 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 10x = -27 + 0 -24 + 10x = -27 Add '24' to each side of the equation. -24 + 24 + 10x = -27 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = -27 + 24 10x = -27 + 24 Combine like terms: -27 + 24 = -3 10x = -3 Divide each side by '10'. x = -0.3 Simplifying x = -0.3
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