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