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Simplifying 8x + -12 + -5x = 3(2x + 2) Reorder the terms: -12 + 8x + -5x = 3(2x + 2) Combine like terms: 8x + -5x = 3x -12 + 3x = 3(2x + 2) Reorder the terms: -12 + 3x = 3(2 + 2x) -12 + 3x = (2 * 3 + 2x * 3) -12 + 3x = (6 + 6x) Solving -12 + 3x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 3x + -6x = 6 + 6x + -6x Combine like terms: 3x + -6x = -3x -12 + -3x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -3x = 6 + 0 -12 + -3x = 6 Add '12' to each side of the equation. -12 + 12 + -3x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 6 + 12 -3x = 6 + 12 Combine like terms: 6 + 12 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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