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Simplifying 6(x + -3) = 7(2x + -6) Reorder the terms: 6(-3 + x) = 7(2x + -6) (-3 * 6 + x * 6) = 7(2x + -6) (-18 + 6x) = 7(2x + -6) Reorder the terms: -18 + 6x = 7(-6 + 2x) -18 + 6x = (-6 * 7 + 2x * 7) -18 + 6x = (-42 + 14x) Solving -18 + 6x = -42 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -18 + 6x + -14x = -42 + 14x + -14x Combine like terms: 6x + -14x = -8x -18 + -8x = -42 + 14x + -14x Combine like terms: 14x + -14x = 0 -18 + -8x = -42 + 0 -18 + -8x = -42 Add '18' to each side of the equation. -18 + 18 + -8x = -42 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = -42 + 18 -8x = -42 + 18 Combine like terms: -42 + 18 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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