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Simplifying -6(x + 2) + 3x + 6 = 7x + 12 Reorder the terms: -6(2 + x) + 3x + 6 = 7x + 12 (2 * -6 + x * -6) + 3x + 6 = 7x + 12 (-12 + -6x) + 3x + 6 = 7x + 12 Reorder the terms: -12 + 6 + -6x + 3x = 7x + 12 Combine like terms: -12 + 6 = -6 -6 + -6x + 3x = 7x + 12 Combine like terms: -6x + 3x = -3x -6 + -3x = 7x + 12 Reorder the terms: -6 + -3x = 12 + 7x Solving -6 + -3x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + -3x + -7x = 12 + 7x + -7x Combine like terms: -3x + -7x = -10x -6 + -10x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -10x = 12 + 0 -6 + -10x = 12 Add '6' to each side of the equation. -6 + 6 + -10x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 12 + 6 -10x = 12 + 6 Combine like terms: 12 + 6 = 18 -10x = 18 Divide each side by '-10'. x = -1.8 Simplifying x = -1.8
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