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Simplifying 3x + 7 = -45 + -10x Reorder the terms: 7 + 3x = -45 + -10x Solving 7 + 3x = -45 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 7 + 3x + 10x = -45 + -10x + 10x Combine like terms: 3x + 10x = 13x 7 + 13x = -45 + -10x + 10x Combine like terms: -10x + 10x = 0 7 + 13x = -45 + 0 7 + 13x = -45 Add '-7' to each side of the equation. 7 + -7 + 13x = -45 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = -45 + -7 13x = -45 + -7 Combine like terms: -45 + -7 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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