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Simplifying 6(x + -9) = 3(x + 45) Reorder the terms: 6(-9 + x) = 3(x + 45) (-9 * 6 + x * 6) = 3(x + 45) (-54 + 6x) = 3(x + 45) Reorder the terms: -54 + 6x = 3(45 + x) -54 + 6x = (45 * 3 + x * 3) -54 + 6x = (135 + 3x) Solving -54 + 6x = 135 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -54 + 6x + -3x = 135 + 3x + -3x Combine like terms: 6x + -3x = 3x -54 + 3x = 135 + 3x + -3x Combine like terms: 3x + -3x = 0 -54 + 3x = 135 + 0 -54 + 3x = 135 Add '54' to each side of the equation. -54 + 54 + 3x = 135 + 54 Combine like terms: -54 + 54 = 0 0 + 3x = 135 + 54 3x = 135 + 54 Combine like terms: 135 + 54 = 189 3x = 189 Divide each side by '3'. x = 63 Simplifying x = 63
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