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Simplifying 3(x + -7) = 5(x + -7) Reorder the terms: 3(-7 + x) = 5(x + -7) (-7 * 3 + x * 3) = 5(x + -7) (-21 + 3x) = 5(x + -7) Reorder the terms: -21 + 3x = 5(-7 + x) -21 + 3x = (-7 * 5 + x * 5) -21 + 3x = (-35 + 5x) Solving -21 + 3x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + 3x + -5x = -35 + 5x + -5x Combine like terms: 3x + -5x = -2x -21 + -2x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + -2x = -35 + 0 -21 + -2x = -35 Add '21' to each side of the equation. -21 + 21 + -2x = -35 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = -35 + 21 -2x = -35 + 21 Combine like terms: -35 + 21 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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