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Simplifying 8(2x + 3) = 3(3x + -4) Reorder the terms: 8(3 + 2x) = 3(3x + -4) (3 * 8 + 2x * 8) = 3(3x + -4) (24 + 16x) = 3(3x + -4) Reorder the terms: 24 + 16x = 3(-4 + 3x) 24 + 16x = (-4 * 3 + 3x * 3) 24 + 16x = (-12 + 9x) Solving 24 + 16x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 24 + 16x + -9x = -12 + 9x + -9x Combine like terms: 16x + -9x = 7x 24 + 7x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + 7x = -12 + 0 24 + 7x = -12 Add '-24' to each side of the equation. 24 + -24 + 7x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = -12 + -24 7x = -12 + -24 Combine like terms: -12 + -24 = -36 7x = -36 Divide each side by '7'. x = -5.142857143 Simplifying x = -5.142857143
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