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Simplifying 6(x + -3) = 3(3x + -5) Reorder the terms: 6(-3 + x) = 3(3x + -5) (-3 * 6 + x * 6) = 3(3x + -5) (-18 + 6x) = 3(3x + -5) Reorder the terms: -18 + 6x = 3(-5 + 3x) -18 + 6x = (-5 * 3 + 3x * 3) -18 + 6x = (-15 + 9x) Solving -18 + 6x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -18 + 6x + -9x = -15 + 9x + -9x Combine like terms: 6x + -9x = -3x -18 + -3x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + -3x = -15 + 0 -18 + -3x = -15 Add '18' to each side of the equation. -18 + 18 + -3x = -15 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -15 + 18 -3x = -15 + 18 Combine like terms: -15 + 18 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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