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Simplifying -7x + 15 = 3x + -45 Reorder the terms: 15 + -7x = 3x + -45 Reorder the terms: 15 + -7x = -45 + 3x Solving 15 + -7x = -45 + 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. 15 + -7x + -3x = -45 + 3x + -3x Combine like terms: -7x + -3x = -10x 15 + -10x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -10x = -45 + 0 15 + -10x = -45 Add '-15' to each side of the equation. 15 + -15 + -10x = -45 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = -45 + -15 -10x = -45 + -15 Combine like terms: -45 + -15 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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