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Simplifying 12 + -3(2x + 7) = 3(5x + -4) Reorder the terms: 12 + -3(7 + 2x) = 3(5x + -4) 12 + (7 * -3 + 2x * -3) = 3(5x + -4) 12 + (-21 + -6x) = 3(5x + -4) Combine like terms: 12 + -21 = -9 -9 + -6x = 3(5x + -4) Reorder the terms: -9 + -6x = 3(-4 + 5x) -9 + -6x = (-4 * 3 + 5x * 3) -9 + -6x = (-12 + 15x) Solving -9 + -6x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -9 + -6x + -15x = -12 + 15x + -15x Combine like terms: -6x + -15x = -21x -9 + -21x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 -9 + -21x = -12 + 0 -9 + -21x = -12 Add '9' to each side of the equation. -9 + 9 + -21x = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -21x = -12 + 9 -21x = -12 + 9 Combine like terms: -12 + 9 = -3 -21x = -3 Divide each side by '-21'. x = 0.1428571429 Simplifying x = 0.1428571429
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