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Simplifying 10x + 7 = -2x + -15 + 14x Reorder the terms: 7 + 10x = -2x + -15 + 14x Reorder the terms: 7 + 10x = -15 + -2x + 14x Combine like terms: -2x + 14x = 12x 7 + 10x = -15 + 12x Solving 7 + 10x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 10x + -12x = -15 + 12x + -12x Combine like terms: 10x + -12x = -2x 7 + -2x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -2x = -15 + 0 7 + -2x = -15 Add '-7' to each side of the equation. 7 + -7 + -2x = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -15 + -7 -2x = -15 + -7 Combine like terms: -15 + -7 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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