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Simplifying 3(x + -8) = 5(2x + -3) Reorder the terms: 3(-8 + x) = 5(2x + -3) (-8 * 3 + x * 3) = 5(2x + -3) (-24 + 3x) = 5(2x + -3) Reorder the terms: -24 + 3x = 5(-3 + 2x) -24 + 3x = (-3 * 5 + 2x * 5) -24 + 3x = (-15 + 10x) Solving -24 + 3x = -15 + 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. -24 + 3x + -10x = -15 + 10x + -10x Combine like terms: 3x + -10x = -7x -24 + -7x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + -7x = -15 + 0 -24 + -7x = -15 Add '24' to each side of the equation. -24 + 24 + -7x = -15 + 24 Combine like terms: -24 + 24 = 0 0 + -7x = -15 + 24 -7x = -15 + 24 Combine like terms: -15 + 24 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286
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