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Simplifying 9x + 45 = 3(4x + -3) Reorder the terms: 45 + 9x = 3(4x + -3) Reorder the terms: 45 + 9x = 3(-3 + 4x) 45 + 9x = (-3 * 3 + 4x * 3) 45 + 9x = (-9 + 12x) Solving 45 + 9x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 45 + 9x + -12x = -9 + 12x + -12x Combine like terms: 9x + -12x = -3x 45 + -3x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 45 + -3x = -9 + 0 45 + -3x = -9 Add '-45' to each side of the equation. 45 + -45 + -3x = -9 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = -9 + -45 -3x = -9 + -45 Combine like terms: -9 + -45 = -54 -3x = -54 Divide each side by '-3'. x = 18 Simplifying x = 18
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