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Simplifying 3(2x + -3) = 4(x + 1) Reorder the terms: 3(-3 + 2x) = 4(x + 1) (-3 * 3 + 2x * 3) = 4(x + 1) (-9 + 6x) = 4(x + 1) Reorder the terms: -9 + 6x = 4(1 + x) -9 + 6x = (1 * 4 + x * 4) -9 + 6x = (4 + 4x) Solving -9 + 6x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 6x + -4x = 4 + 4x + -4x Combine like terms: 6x + -4x = 2x -9 + 2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 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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