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Simplifying 3 + -3(x + 6) = 7x + 12 Reorder the terms: 3 + -3(6 + x) = 7x + 12 3 + (6 * -3 + x * -3) = 7x + 12 3 + (-18 + -3x) = 7x + 12 Combine like terms: 3 + -18 = -15 -15 + -3x = 7x + 12 Reorder the terms: -15 + -3x = 12 + 7x Solving -15 + -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. -15 + -3x + -7x = 12 + 7x + -7x Combine like terms: -3x + -7x = -10x -15 + -10x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -10x = 12 + 0 -15 + -10x = 12 Add '15' to each side of the equation. -15 + 15 + -10x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = 12 + 15 -10x = 12 + 15 Combine like terms: 12 + 15 = 27 -10x = 27 Divide each side by '-10'. x = -2.7 Simplifying x = -2.7
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