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Simplifying 3(x + -6) = 2x + -7 Reorder the terms: 3(-6 + x) = 2x + -7 (-6 * 3 + x * 3) = 2x + -7 (-18 + 3x) = 2x + -7 Reorder the terms: -18 + 3x = -7 + 2x Solving -18 + 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. -18 + 3x + -2x = -7 + 2x + -2x Combine like terms: 3x + -2x = 1x -18 + 1x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 1x = -7 + 0 -18 + 1x = -7 Add '18' to each side of the equation. -18 + 18 + 1x = -7 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -7 + 18 1x = -7 + 18 Combine like terms: -7 + 18 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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