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Simplifying 3(x + -7) + -5(2x + 1) = x + -26 Reorder the terms: 3(-7 + x) + -5(2x + 1) = x + -26 (-7 * 3 + x * 3) + -5(2x + 1) = x + -26 (-21 + 3x) + -5(2x + 1) = x + -26 Reorder the terms: -21 + 3x + -5(1 + 2x) = x + -26 -21 + 3x + (1 * -5 + 2x * -5) = x + -26 -21 + 3x + (-5 + -10x) = x + -26 Reorder the terms: -21 + -5 + 3x + -10x = x + -26 Combine like terms: -21 + -5 = -26 -26 + 3x + -10x = x + -26 Combine like terms: 3x + -10x = -7x -26 + -7x = x + -26 Reorder the terms: -26 + -7x = -26 + x Add '26' to each side of the equation. -26 + 26 + -7x = -26 + 26 + x Combine like terms: -26 + 26 = 0 0 + -7x = -26 + 26 + x -7x = -26 + 26 + x Combine like terms: -26 + 26 = 0 -7x = 0 + x -7x = x Solving -7x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7x + -1x = x + -1x Combine like terms: -7x + -1x = -8x -8x = x + -1x Combine like terms: x + -1x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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