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Simplifying 8(x + 3) = -3(2x + -1) Reorder the terms: 8(3 + x) = -3(2x + -1) (3 * 8 + x * 8) = -3(2x + -1) (24 + 8x) = -3(2x + -1) Reorder the terms: 24 + 8x = -3(-1 + 2x) 24 + 8x = (-1 * -3 + 2x * -3) 24 + 8x = (3 + -6x) Solving 24 + 8x = 3 + -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 + 8x + 6x = 3 + -6x + 6x Combine like terms: 8x + 6x = 14x 24 + 14x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + 14x = 3 + 0 24 + 14x = 3 Add '-24' to each side of the equation. 24 + -24 + 14x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + 14x = 3 + -24 14x = 3 + -24 Combine like terms: 3 + -24 = -21 14x = -21 Divide each side by '14'. x = -1.5 Simplifying x = -1.5
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