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Simplifying 6x + 3x + -12 = 3(4x + 5) Reorder the terms: -12 + 6x + 3x = 3(4x + 5) Combine like terms: 6x + 3x = 9x -12 + 9x = 3(4x + 5) Reorder the terms: -12 + 9x = 3(5 + 4x) -12 + 9x = (5 * 3 + 4x * 3) -12 + 9x = (15 + 12x) Solving -12 + 9x = 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. -12 + 9x + -12x = 15 + 12x + -12x Combine like terms: 9x + -12x = -3x -12 + -3x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -3x = 15 + 0 -12 + -3x = 15 Add '12' to each side of the equation. -12 + 12 + -3x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 15 + 12 -3x = 15 + 12 Combine like terms: 15 + 12 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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