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Simplifying 3(x + -5) + -7 = 5x + -26 Reorder the terms: 3(-5 + x) + -7 = 5x + -26 (-5 * 3 + x * 3) + -7 = 5x + -26 (-15 + 3x) + -7 = 5x + -26 Reorder the terms: -15 + -7 + 3x = 5x + -26 Combine like terms: -15 + -7 = -22 -22 + 3x = 5x + -26 Reorder the terms: -22 + 3x = -26 + 5x Solving -22 + 3x = -26 + 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. -22 + 3x + -5x = -26 + 5x + -5x Combine like terms: 3x + -5x = -2x -22 + -2x = -26 + 5x + -5x Combine like terms: 5x + -5x = 0 -22 + -2x = -26 + 0 -22 + -2x = -26 Add '22' to each side of the equation. -22 + 22 + -2x = -26 + 22 Combine like terms: -22 + 22 = 0 0 + -2x = -26 + 22 -2x = -26 + 22 Combine like terms: -26 + 22 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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