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Simplifying 2(-3x + 4) + -7x = 5(x + -7) Reorder the terms: 2(4 + -3x) + -7x = 5(x + -7) (4 * 2 + -3x * 2) + -7x = 5(x + -7) (8 + -6x) + -7x = 5(x + -7) Combine like terms: -6x + -7x = -13x 8 + -13x = 5(x + -7) Reorder the terms: 8 + -13x = 5(-7 + x) 8 + -13x = (-7 * 5 + x * 5) 8 + -13x = (-35 + 5x) Solving 8 + -13x = -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. 8 + -13x + -5x = -35 + 5x + -5x Combine like terms: -13x + -5x = -18x 8 + -18x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -18x = -35 + 0 8 + -18x = -35 Add '-8' to each side of the equation. 8 + -8 + -18x = -35 + -8 Combine like terms: 8 + -8 = 0 0 + -18x = -35 + -8 -18x = -35 + -8 Combine like terms: -35 + -8 = -43 -18x = -43 Divide each side by '-18'. x = 2.388888889 Simplifying x = 2.388888889
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