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Simplifying 3(2x + -3) = 18 + -2(x + 1) Reorder the terms: 3(-3 + 2x) = 18 + -2(x + 1) (-3 * 3 + 2x * 3) = 18 + -2(x + 1) (-9 + 6x) = 18 + -2(x + 1) Reorder the terms: -9 + 6x = 18 + -2(1 + x) -9 + 6x = 18 + (1 * -2 + x * -2) -9 + 6x = 18 + (-2 + -2x) Combine like terms: 18 + -2 = 16 -9 + 6x = 16 + -2x Solving -9 + 6x = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + 6x + 2x = 16 + -2x + 2x Combine like terms: 6x + 2x = 8x -9 + 8x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 8x = 16 + 0 -9 + 8x = 16 Add '9' to each side of the equation. -9 + 9 + 8x = 16 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 16 + 9 8x = 16 + 9 Combine like terms: 16 + 9 = 25 8x = 25 Divide each side by '8'. x = 3.125 Simplifying x = 3.125
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