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Simplifying 3(2x + 3) = 4(2x + -1) Reorder the terms: 3(3 + 2x) = 4(2x + -1) (3 * 3 + 2x * 3) = 4(2x + -1) (9 + 6x) = 4(2x + -1) Reorder the terms: 9 + 6x = 4(-1 + 2x) 9 + 6x = (-1 * 4 + 2x * 4) 9 + 6x = (-4 + 8x) Solving 9 + 6x = -4 + 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. 9 + 6x + -8x = -4 + 8x + -8x Combine like terms: 6x + -8x = -2x 9 + -2x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -2x = -4 + 0 9 + -2x = -4 Add '-9' to each side of the equation. 9 + -9 + -2x = -4 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -4 + -9 -2x = -4 + -9 Combine like terms: -4 + -9 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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