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Simplifying -3x + 45 = 7(x + 5) Reorder the terms: 45 + -3x = 7(x + 5) Reorder the terms: 45 + -3x = 7(5 + x) 45 + -3x = (5 * 7 + x * 7) 45 + -3x = (35 + 7x) Solving 45 + -3x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 45 + -3x + -7x = 35 + 7x + -7x Combine like terms: -3x + -7x = -10x 45 + -10x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + -10x = 35 + 0 45 + -10x = 35 Add '-45' to each side of the equation. 45 + -45 + -10x = 35 + -45 Combine like terms: 45 + -45 = 0 0 + -10x = 35 + -45 -10x = 35 + -45 Combine like terms: 35 + -45 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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