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Simplifying 6(x + -3) = 7(x + 3) Reorder the terms: 6(-3 + x) = 7(x + 3) (-3 * 6 + x * 6) = 7(x + 3) (-18 + 6x) = 7(x + 3) Reorder the terms: -18 + 6x = 7(3 + x) -18 + 6x = (3 * 7 + x * 7) -18 + 6x = (21 + 7x) Solving -18 + 6x = 21 + 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. -18 + 6x + -7x = 21 + 7x + -7x Combine like terms: 6x + -7x = -1x -18 + -1x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + -1x = 21 + 0 -18 + -1x = 21 Add '18' to each side of the equation. -18 + 18 + -1x = 21 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 21 + 18 -1x = 21 + 18 Combine like terms: 21 + 18 = 39 -1x = 39 Divide each side by '-1'. x = -39 Simplifying x = -39
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