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Simplifying (2x + 9) + -6 = 3(x + -7) Reorder the terms: (9 + 2x) + -6 = 3(x + -7) Remove parenthesis around (9 + 2x) 9 + 2x + -6 = 3(x + -7) Reorder the terms: 9 + -6 + 2x = 3(x + -7) Combine like terms: 9 + -6 = 3 3 + 2x = 3(x + -7) Reorder the terms: 3 + 2x = 3(-7 + x) 3 + 2x = (-7 * 3 + x * 3) 3 + 2x = (-21 + 3x) Solving 3 + 2x = -21 + 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. 3 + 2x + -3x = -21 + 3x + -3x Combine like terms: 2x + -3x = -1x 3 + -1x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -1x = -21 + 0 3 + -1x = -21 Add '-3' to each side of the equation. 3 + -3 + -1x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -21 + -3 -1x = -21 + -3 Combine like terms: -21 + -3 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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