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Simplifying 3x + 2(x + -7) = 9x + 10 Reorder the terms: 3x + 2(-7 + x) = 9x + 10 3x + (-7 * 2 + x * 2) = 9x + 10 3x + (-14 + 2x) = 9x + 10 Reorder the terms: -14 + 3x + 2x = 9x + 10 Combine like terms: 3x + 2x = 5x -14 + 5x = 9x + 10 Reorder the terms: -14 + 5x = 10 + 9x Solving -14 + 5x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -14 + 5x + -9x = 10 + 9x + -9x Combine like terms: 5x + -9x = -4x -14 + -4x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 -14 + -4x = 10 + 0 -14 + -4x = 10 Add '14' to each side of the equation. -14 + 14 + -4x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = 10 + 14 -4x = 10 + 14 Combine like terms: 10 + 14 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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