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Simplifying -2(3x + -7) + 4(3x + 2) = 6(5x + 9) + 3 Reorder the terms: -2(-7 + 3x) + 4(3x + 2) = 6(5x + 9) + 3 (-7 * -2 + 3x * -2) + 4(3x + 2) = 6(5x + 9) + 3 (14 + -6x) + 4(3x + 2) = 6(5x + 9) + 3 Reorder the terms: 14 + -6x + 4(2 + 3x) = 6(5x + 9) + 3 14 + -6x + (2 * 4 + 3x * 4) = 6(5x + 9) + 3 14 + -6x + (8 + 12x) = 6(5x + 9) + 3 Reorder the terms: 14 + 8 + -6x + 12x = 6(5x + 9) + 3 Combine like terms: 14 + 8 = 22 22 + -6x + 12x = 6(5x + 9) + 3 Combine like terms: -6x + 12x = 6x 22 + 6x = 6(5x + 9) + 3 Reorder the terms: 22 + 6x = 6(9 + 5x) + 3 22 + 6x = (9 * 6 + 5x * 6) + 3 22 + 6x = (54 + 30x) + 3 Reorder the terms: 22 + 6x = 54 + 3 + 30x Combine like terms: 54 + 3 = 57 22 + 6x = 57 + 30x Solving 22 + 6x = 57 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 22 + 6x + -30x = 57 + 30x + -30x Combine like terms: 6x + -30x = -24x 22 + -24x = 57 + 30x + -30x Combine like terms: 30x + -30x = 0 22 + -24x = 57 + 0 22 + -24x = 57 Add '-22' to each side of the equation. 22 + -22 + -24x = 57 + -22 Combine like terms: 22 + -22 = 0 0 + -24x = 57 + -22 -24x = 57 + -22 Combine like terms: 57 + -22 = 35 -24x = 35 Divide each side by '-24'. x = -1.458333333 Simplifying x = -1.458333333
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