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Simplifying 8(2x + -3) = 5(3x + -2) Reorder the terms: 8(-3 + 2x) = 5(3x + -2) (-3 * 8 + 2x * 8) = 5(3x + -2) (-24 + 16x) = 5(3x + -2) Reorder the terms: -24 + 16x = 5(-2 + 3x) -24 + 16x = (-2 * 5 + 3x * 5) -24 + 16x = (-10 + 15x) Solving -24 + 16x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -24 + 16x + -15x = -10 + 15x + -15x Combine like terms: 16x + -15x = 1x -24 + 1x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -24 + 1x = -10 + 0 -24 + 1x = -10 Add '24' to each side of the equation. -24 + 24 + 1x = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -10 + 24 1x = -10 + 24 Combine like terms: -10 + 24 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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