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Simplifying 3(3x + -3) + 2(x + 1) = 3x + 18 Reorder the terms: 3(-3 + 3x) + 2(x + 1) = 3x + 18 (-3 * 3 + 3x * 3) + 2(x + 1) = 3x + 18 (-9 + 9x) + 2(x + 1) = 3x + 18 Reorder the terms: -9 + 9x + 2(1 + x) = 3x + 18 -9 + 9x + (1 * 2 + x * 2) = 3x + 18 -9 + 9x + (2 + 2x) = 3x + 18 Reorder the terms: -9 + 2 + 9x + 2x = 3x + 18 Combine like terms: -9 + 2 = -7 -7 + 9x + 2x = 3x + 18 Combine like terms: 9x + 2x = 11x -7 + 11x = 3x + 18 Reorder the terms: -7 + 11x = 18 + 3x Solving -7 + 11x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 11x + -3x = 18 + 3x + -3x Combine like terms: 11x + -3x = 8x -7 + 8x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 8x = 18 + 0 -7 + 8x = 18 Add '7' to each side of the equation. -7 + 7 + 8x = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 18 + 7 8x = 18 + 7 Combine like terms: 18 + 7 = 25 8x = 25 Divide each side by '8'. x = 3.125 Simplifying x = 3.125
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