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Simplifying 6(x + -3) = 9(x + 5) Reorder the terms: 6(-3 + x) = 9(x + 5) (-3 * 6 + x * 6) = 9(x + 5) (-18 + 6x) = 9(x + 5) Reorder the terms: -18 + 6x = 9(5 + x) -18 + 6x = (5 * 9 + x * 9) -18 + 6x = (45 + 9x) Solving -18 + 6x = 45 + 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 = 45 + 9x + -9x Combine like terms: 6x + -9x = -3x -18 + -3x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + -3x = 45 + 0 -18 + -3x = 45 Add '18' to each side of the equation. -18 + 18 + -3x = 45 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = 45 + 18 -3x = 45 + 18 Combine like terms: 45 + 18 = 63 -3x = 63 Divide each side by '-3'. x = -21 Simplifying x = -21
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