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Simplifying 2x + 9 = 3(4x + -1) + -7 Reorder the terms: 9 + 2x = 3(4x + -1) + -7 Reorder the terms: 9 + 2x = 3(-1 + 4x) + -7 9 + 2x = (-1 * 3 + 4x * 3) + -7 9 + 2x = (-3 + 12x) + -7 Reorder the terms: 9 + 2x = -3 + -7 + 12x Combine like terms: -3 + -7 = -10 9 + 2x = -10 + 12x Solving 9 + 2x = -10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 2x + -12x = -10 + 12x + -12x Combine like terms: 2x + -12x = -10x 9 + -10x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -10x = -10 + 0 9 + -10x = -10 Add '-9' to each side of the equation. 9 + -9 + -10x = -10 + -9 Combine like terms: 9 + -9 = 0 0 + -10x = -10 + -9 -10x = -10 + -9 Combine like terms: -10 + -9 = -19 -10x = -19 Divide each side by '-10'. x = 1.9 Simplifying x = 1.9
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