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Simplifying -3x + 45 = 3(x + -5) Reorder the terms: 45 + -3x = 3(x + -5) Reorder the terms: 45 + -3x = 3(-5 + x) 45 + -3x = (-5 * 3 + x * 3) 45 + -3x = (-15 + 3x) Solving 45 + -3x = -15 + 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. 45 + -3x + -3x = -15 + 3x + -3x Combine like terms: -3x + -3x = -6x 45 + -6x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + -6x = -15 + 0 45 + -6x = -15 Add '-45' to each side of the equation. 45 + -45 + -6x = -15 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = -15 + -45 -6x = -15 + -45 Combine like terms: -15 + -45 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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