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Simplifying 12(x + -3) + 7 = 5(3x + -4) Reorder the terms: 12(-3 + x) + 7 = 5(3x + -4) (-3 * 12 + x * 12) + 7 = 5(3x + -4) (-36 + 12x) + 7 = 5(3x + -4) Reorder the terms: -36 + 7 + 12x = 5(3x + -4) Combine like terms: -36 + 7 = -29 -29 + 12x = 5(3x + -4) Reorder the terms: -29 + 12x = 5(-4 + 3x) -29 + 12x = (-4 * 5 + 3x * 5) -29 + 12x = (-20 + 15x) Solving -29 + 12x = -20 + 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. -29 + 12x + -15x = -20 + 15x + -15x Combine like terms: 12x + -15x = -3x -29 + -3x = -20 + 15x + -15x Combine like terms: 15x + -15x = 0 -29 + -3x = -20 + 0 -29 + -3x = -20 Add '29' to each side of the equation. -29 + 29 + -3x = -20 + 29 Combine like terms: -29 + 29 = 0 0 + -3x = -20 + 29 -3x = -20 + 29 Combine like terms: -20 + 29 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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