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Simplifying 3(4x + -9) + 10 = 15x + 2 + 7x Reorder the terms: 3(-9 + 4x) + 10 = 15x + 2 + 7x (-9 * 3 + 4x * 3) + 10 = 15x + 2 + 7x (-27 + 12x) + 10 = 15x + 2 + 7x Reorder the terms: -27 + 10 + 12x = 15x + 2 + 7x Combine like terms: -27 + 10 = -17 -17 + 12x = 15x + 2 + 7x Reorder the terms: -17 + 12x = 2 + 15x + 7x Combine like terms: 15x + 7x = 22x -17 + 12x = 2 + 22x Solving -17 + 12x = 2 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -17 + 12x + -22x = 2 + 22x + -22x Combine like terms: 12x + -22x = -10x -17 + -10x = 2 + 22x + -22x Combine like terms: 22x + -22x = 0 -17 + -10x = 2 + 0 -17 + -10x = 2 Add '17' to each side of the equation. -17 + 17 + -10x = 2 + 17 Combine like terms: -17 + 17 = 0 0 + -10x = 2 + 17 -10x = 2 + 17 Combine like terms: 2 + 17 = 19 -10x = 19 Divide each side by '-10'. x = -1.9 Simplifying x = -1.9
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