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Simplifying 3(x + -6) + 12 = 2x + 7 Reorder the terms: 3(-6 + x) + 12 = 2x + 7 (-6 * 3 + x * 3) + 12 = 2x + 7 (-18 + 3x) + 12 = 2x + 7 Reorder the terms: -18 + 12 + 3x = 2x + 7 Combine like terms: -18 + 12 = -6 -6 + 3x = 2x + 7 Reorder the terms: -6 + 3x = 7 + 2x Solving -6 + 3x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 3x + -2x = 7 + 2x + -2x Combine like terms: 3x + -2x = 1x -6 + 1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 1x = 7 + 0 -6 + 1x = 7 Add '6' to each side of the equation. -6 + 6 + 1x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 7 + 6 1x = 7 + 6 Combine like terms: 7 + 6 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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