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Simplifying 8(2x + -3) = 2(3x + -2) Reorder the terms: 8(-3 + 2x) = 2(3x + -2) (-3 * 8 + 2x * 8) = 2(3x + -2) (-24 + 16x) = 2(3x + -2) Reorder the terms: -24 + 16x = 2(-2 + 3x) -24 + 16x = (-2 * 2 + 3x * 2) -24 + 16x = (-4 + 6x) Solving -24 + 16x = -4 + 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 = -4 + 6x + -6x Combine like terms: 16x + -6x = 10x -24 + 10x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 10x = -4 + 0 -24 + 10x = -4 Add '24' to each side of the equation. -24 + 24 + 10x = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = -4 + 24 10x = -4 + 24 Combine like terms: -4 + 24 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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