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Simplifying 9 + -1(3x + -12) = 2(6x + -3) + -9 Reorder the terms: 9 + -1(-12 + 3x) = 2(6x + -3) + -9 9 + (-12 * -1 + 3x * -1) = 2(6x + -3) + -9 9 + (12 + -3x) = 2(6x + -3) + -9 Combine like terms: 9 + 12 = 21 21 + -3x = 2(6x + -3) + -9 Reorder the terms: 21 + -3x = 2(-3 + 6x) + -9 21 + -3x = (-3 * 2 + 6x * 2) + -9 21 + -3x = (-6 + 12x) + -9 Reorder the terms: 21 + -3x = -6 + -9 + 12x Combine like terms: -6 + -9 = -15 21 + -3x = -15 + 12x Solving 21 + -3x = -15 + 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. 21 + -3x + -12x = -15 + 12x + -12x Combine like terms: -3x + -12x = -15x 21 + -15x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -15x = -15 + 0 21 + -15x = -15 Add '-21' to each side of the equation. 21 + -21 + -15x = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -15x = -15 + -21 -15x = -15 + -21 Combine like terms: -15 + -21 = -36 -15x = -36 Divide each side by '-15'. x = 2.4 Simplifying x = 2.4
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