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Simplifying -5x + 4x + 2 = 10x + -2 + -7 Reorder the terms: 2 + -5x + 4x = 10x + -2 + -7 Combine like terms: -5x + 4x = -1x 2 + -1x = 10x + -2 + -7 Reorder the terms: 2 + -1x = -2 + -7 + 10x Combine like terms: -2 + -7 = -9 2 + -1x = -9 + 10x Solving 2 + -1x = -9 + 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. 2 + -1x + -10x = -9 + 10x + -10x Combine like terms: -1x + -10x = -11x 2 + -11x = -9 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -11x = -9 + 0 2 + -11x = -9 Add '-2' to each side of the equation. 2 + -2 + -11x = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -11x = -9 + -2 -11x = -9 + -2 Combine like terms: -9 + -2 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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