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Simplifying 2(x + -7) + 5x = 10x + -2 Reorder the terms: 2(-7 + x) + 5x = 10x + -2 (-7 * 2 + x * 2) + 5x = 10x + -2 (-14 + 2x) + 5x = 10x + -2 Combine like terms: 2x + 5x = 7x -14 + 7x = 10x + -2 Reorder the terms: -14 + 7x = -2 + 10x Solving -14 + 7x = -2 + 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. -14 + 7x + -10x = -2 + 10x + -10x Combine like terms: 7x + -10x = -3x -14 + -3x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -3x = -2 + 0 -14 + -3x = -2 Add '14' to each side of the equation. -14 + 14 + -3x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = -2 + 14 -3x = -2 + 14 Combine like terms: -2 + 14 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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