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Simplifying 2(x + -7) = 3(x + -7) Reorder the terms: 2(-7 + x) = 3(x + -7) (-7 * 2 + x * 2) = 3(x + -7) (-14 + 2x) = 3(x + -7) Reorder the terms: -14 + 2x = 3(-7 + x) -14 + 2x = (-7 * 3 + x * 3) -14 + 2x = (-21 + 3x) Solving -14 + 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. -14 + 2x + -3x = -21 + 3x + -3x Combine like terms: 2x + -3x = -1x -14 + -1x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + -1x = -21 + 0 -14 + -1x = -21 Add '14' to each side of the equation. -14 + 14 + -1x = -21 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -21 + 14 -1x = -21 + 14 Combine like terms: -21 + 14 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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