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Simplifying 3(2x + -3) + 2(x + 1) = 9x + 3 Reorder the terms: 3(-3 + 2x) + 2(x + 1) = 9x + 3 (-3 * 3 + 2x * 3) + 2(x + 1) = 9x + 3 (-9 + 6x) + 2(x + 1) = 9x + 3 Reorder the terms: -9 + 6x + 2(1 + x) = 9x + 3 -9 + 6x + (1 * 2 + x * 2) = 9x + 3 -9 + 6x + (2 + 2x) = 9x + 3 Reorder the terms: -9 + 2 + 6x + 2x = 9x + 3 Combine like terms: -9 + 2 = -7 -7 + 6x + 2x = 9x + 3 Combine like terms: 6x + 2x = 8x -7 + 8x = 9x + 3 Reorder the terms: -7 + 8x = 3 + 9x Solving -7 + 8x = 3 + 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. -7 + 8x + -9x = 3 + 9x + -9x Combine like terms: 8x + -9x = -1x -7 + -1x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -1x = 3 + 0 -7 + -1x = 3 Add '7' to each side of the equation. -7 + 7 + -1x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 3 + 7 -1x = 3 + 7 Combine like terms: 3 + 7 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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