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Simplifying 2(x + -7) + 5 = 3x + -10 Reorder the terms: 2(-7 + x) + 5 = 3x + -10 (-7 * 2 + x * 2) + 5 = 3x + -10 (-14 + 2x) + 5 = 3x + -10 Reorder the terms: -14 + 5 + 2x = 3x + -10 Combine like terms: -14 + 5 = -9 -9 + 2x = 3x + -10 Reorder the terms: -9 + 2x = -10 + 3x Solving -9 + 2x = -10 + 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. -9 + 2x + -3x = -10 + 3x + -3x Combine like terms: 2x + -3x = -1x -9 + -1x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -1x = -10 + 0 -9 + -1x = -10 Add '9' to each side of the equation. -9 + 9 + -1x = -10 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -10 + 9 -1x = -10 + 9 Combine like terms: -10 + 9 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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