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Simplifying 8(2x + 3) = 4(2x + -3) Reorder the terms: 8(3 + 2x) = 4(2x + -3) (3 * 8 + 2x * 8) = 4(2x + -3) (24 + 16x) = 4(2x + -3) Reorder the terms: 24 + 16x = 4(-3 + 2x) 24 + 16x = (-3 * 4 + 2x * 4) 24 + 16x = (-12 + 8x) Solving 24 + 16x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + 16x + -8x = -12 + 8x + -8x Combine like terms: 16x + -8x = 8x 24 + 8x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + 8x = -12 + 0 24 + 8x = -12 Add '-24' to each side of the equation. 24 + -24 + 8x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = -12 + -24 8x = -12 + -24 Combine like terms: -12 + -24 = -36 8x = -36 Divide each side by '8'. x = -4.5 Simplifying x = -4.5
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