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Simplifying 3(4x + -12) = 3(5x + 7) Reorder the terms: 3(-12 + 4x) = 3(5x + 7) (-12 * 3 + 4x * 3) = 3(5x + 7) (-36 + 12x) = 3(5x + 7) Reorder the terms: -36 + 12x = 3(7 + 5x) -36 + 12x = (7 * 3 + 5x * 3) -36 + 12x = (21 + 15x) Solving -36 + 12x = 21 + 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. -36 + 12x + -15x = 21 + 15x + -15x Combine like terms: 12x + -15x = -3x -36 + -3x = 21 + 15x + -15x Combine like terms: 15x + -15x = 0 -36 + -3x = 21 + 0 -36 + -3x = 21 Add '36' to each side of the equation. -36 + 36 + -3x = 21 + 36 Combine like terms: -36 + 36 = 0 0 + -3x = 21 + 36 -3x = 21 + 36 Combine like terms: 21 + 36 = 57 -3x = 57 Divide each side by '-3'. x = -19 Simplifying x = -19
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