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Simplifying 8(2x + -3) = 2(x + 2) Reorder the terms: 8(-3 + 2x) = 2(x + 2) (-3 * 8 + 2x * 8) = 2(x + 2) (-24 + 16x) = 2(x + 2) Reorder the terms: -24 + 16x = 2(2 + x) -24 + 16x = (2 * 2 + x * 2) -24 + 16x = (4 + 2x) Solving -24 + 16x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 16x + -2x = 4 + 2x + -2x Combine like terms: 16x + -2x = 14x -24 + 14x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 14x = 4 + 0 -24 + 14x = 4 Add '24' to each side of the equation. -24 + 24 + 14x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 4 + 24 14x = 4 + 24 Combine like terms: 4 + 24 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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