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Simplifying 6(x + -3) = 5(x + 3) Reorder the terms: 6(-3 + x) = 5(x + 3) (-3 * 6 + x * 6) = 5(x + 3) (-18 + 6x) = 5(x + 3) Reorder the terms: -18 + 6x = 5(3 + x) -18 + 6x = (3 * 5 + x * 5) -18 + 6x = (15 + 5x) Solving -18 + 6x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 6x + -5x = 15 + 5x + -5x Combine like terms: 6x + -5x = 1x -18 + 1x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 1x = 15 + 0 -18 + 1x = 15 Add '18' to each side of the equation. -18 + 18 + 1x = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 15 + 18 1x = 15 + 18 Combine like terms: 15 + 18 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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