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Simplifying 7(x + -6) = 3(2x + -6) Reorder the terms: 7(-6 + x) = 3(2x + -6) (-6 * 7 + x * 7) = 3(2x + -6) (-42 + 7x) = 3(2x + -6) Reorder the terms: -42 + 7x = 3(-6 + 2x) -42 + 7x = (-6 * 3 + 2x * 3) -42 + 7x = (-18 + 6x) Solving -42 + 7x = -18 + 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. -42 + 7x + -6x = -18 + 6x + -6x Combine like terms: 7x + -6x = 1x -42 + 1x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 1x = -18 + 0 -42 + 1x = -18 Add '42' to each side of the equation. -42 + 42 + 1x = -18 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = -18 + 42 1x = -18 + 42 Combine like terms: -18 + 42 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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