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Simplifying 5(x + -7) + 9 = 2(x + -4) Reorder the terms: 5(-7 + x) + 9 = 2(x + -4) (-7 * 5 + x * 5) + 9 = 2(x + -4) (-35 + 5x) + 9 = 2(x + -4) Reorder the terms: -35 + 9 + 5x = 2(x + -4) Combine like terms: -35 + 9 = -26 -26 + 5x = 2(x + -4) Reorder the terms: -26 + 5x = 2(-4 + x) -26 + 5x = (-4 * 2 + x * 2) -26 + 5x = (-8 + 2x) Solving -26 + 5x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -26 + 5x + -2x = -8 + 2x + -2x Combine like terms: 5x + -2x = 3x -26 + 3x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + 3x = -8 + 0 -26 + 3x = -8 Add '26' to each side of the equation. -26 + 26 + 3x = -8 + 26 Combine like terms: -26 + 26 = 0 0 + 3x = -8 + 26 3x = -8 + 26 Combine like terms: -8 + 26 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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