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Simplifying 2(x + -3) = 5(x + -7) Reorder the terms: 2(-3 + x) = 5(x + -7) (-3 * 2 + x * 2) = 5(x + -7) (-6 + 2x) = 5(x + -7) Reorder the terms: -6 + 2x = 5(-7 + x) -6 + 2x = (-7 * 5 + x * 5) -6 + 2x = (-35 + 5x) Solving -6 + 2x = -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. -6 + 2x + -5x = -35 + 5x + -5x Combine like terms: 2x + -5x = -3x -6 + -3x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -3x = -35 + 0 -6 + -3x = -35 Add '6' to each side of the equation. -6 + 6 + -3x = -35 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -35 + 6 -3x = -35 + 6 Combine like terms: -35 + 6 = -29 -3x = -29 Divide each side by '-3'. x = 9.666666667 Simplifying x = 9.666666667
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