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Simplifying 6(x + -3) = 9(x + 14) Reorder the terms: 6(-3 + x) = 9(x + 14) (-3 * 6 + x * 6) = 9(x + 14) (-18 + 6x) = 9(x + 14) Reorder the terms: -18 + 6x = 9(14 + x) -18 + 6x = (14 * 9 + x * 9) -18 + 6x = (126 + 9x) Solving -18 + 6x = 126 + 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 = 126 + 9x + -9x Combine like terms: 6x + -9x = -3x -18 + -3x = 126 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + -3x = 126 + 0 -18 + -3x = 126 Add '18' to each side of the equation. -18 + 18 + -3x = 126 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = 126 + 18 -3x = 126 + 18 Combine like terms: 126 + 18 = 144 -3x = 144 Divide each side by '-3'. x = -48 Simplifying x = -48
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