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Simplifying 2(6x + -9) + -3x = 5(2x + 3) + -4x Reorder the terms: 2(-9 + 6x) + -3x = 5(2x + 3) + -4x (-9 * 2 + 6x * 2) + -3x = 5(2x + 3) + -4x (-18 + 12x) + -3x = 5(2x + 3) + -4x Combine like terms: 12x + -3x = 9x -18 + 9x = 5(2x + 3) + -4x Reorder the terms: -18 + 9x = 5(3 + 2x) + -4x -18 + 9x = (3 * 5 + 2x * 5) + -4x -18 + 9x = (15 + 10x) + -4x Combine like terms: 10x + -4x = 6x -18 + 9x = 15 + 6x Solving -18 + 9x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 9x + -6x = 15 + 6x + -6x Combine like terms: 9x + -6x = 3x -18 + 3x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 3x = 15 + 0 -18 + 3x = 15 Add '18' to each side of the equation. -18 + 18 + 3x = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 15 + 18 3x = 15 + 18 Combine like terms: 15 + 18 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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