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Simplifying -10 + 7(x + -2) = 10(2x + -5) Reorder the terms: -10 + 7(-2 + x) = 10(2x + -5) -10 + (-2 * 7 + x * 7) = 10(2x + -5) -10 + (-14 + 7x) = 10(2x + -5) Combine like terms: -10 + -14 = -24 -24 + 7x = 10(2x + -5) Reorder the terms: -24 + 7x = 10(-5 + 2x) -24 + 7x = (-5 * 10 + 2x * 10) -24 + 7x = (-50 + 20x) Solving -24 + 7x = -50 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -24 + 7x + -20x = -50 + 20x + -20x Combine like terms: 7x + -20x = -13x -24 + -13x = -50 + 20x + -20x Combine like terms: 20x + -20x = 0 -24 + -13x = -50 + 0 -24 + -13x = -50 Add '24' to each side of the equation. -24 + 24 + -13x = -50 + 24 Combine like terms: -24 + 24 = 0 0 + -13x = -50 + 24 -13x = -50 + 24 Combine like terms: -50 + 24 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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