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Simplifying 5(x + -3) = 7(x + -5) + 26 Reorder the terms: 5(-3 + x) = 7(x + -5) + 26 (-3 * 5 + x * 5) = 7(x + -5) + 26 (-15 + 5x) = 7(x + -5) + 26 Reorder the terms: -15 + 5x = 7(-5 + x) + 26 -15 + 5x = (-5 * 7 + x * 7) + 26 -15 + 5x = (-35 + 7x) + 26 Reorder the terms: -15 + 5x = -35 + 26 + 7x Combine like terms: -35 + 26 = -9 -15 + 5x = -9 + 7x Solving -15 + 5x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 5x + -7x = -9 + 7x + -7x Combine like terms: 5x + -7x = -2x -15 + -2x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -2x = -9 + 0 -15 + -2x = -9 Add '15' to each side of the equation. -15 + 15 + -2x = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -9 + 15 -2x = -9 + 15 Combine like terms: -9 + 15 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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