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Simplifying 10x + 7 = -3x + -12 Reorder the terms: 7 + 10x = -3x + -12 Reorder the terms: 7 + 10x = -12 + -3x Solving 7 + 10x = -12 + -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. 7 + 10x + 3x = -12 + -3x + 3x Combine like terms: 10x + 3x = 13x 7 + 13x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 13x = -12 + 0 7 + 13x = -12 Add '-7' to each side of the equation. 7 + -7 + 13x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = -12 + -7 13x = -12 + -7 Combine like terms: -12 + -7 = -19 13x = -19 Divide each side by '13'. x = -1.461538462 Simplifying x = -1.461538462
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