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Simplifying 3x + -7(x + -2) = 26 + -1(3x + 12) Reorder the terms: 3x + -7(-2 + x) = 26 + -1(3x + 12) 3x + (-2 * -7 + x * -7) = 26 + -1(3x + 12) 3x + (14 + -7x) = 26 + -1(3x + 12) Reorder the terms: 14 + 3x + -7x = 26 + -1(3x + 12) Combine like terms: 3x + -7x = -4x 14 + -4x = 26 + -1(3x + 12) Reorder the terms: 14 + -4x = 26 + -1(12 + 3x) 14 + -4x = 26 + (12 * -1 + 3x * -1) 14 + -4x = 26 + (-12 + -3x) Combine like terms: 26 + -12 = 14 14 + -4x = 14 + -3x Add '-14' to each side of the equation. 14 + -14 + -4x = 14 + -14 + -3x Combine like terms: 14 + -14 = 0 0 + -4x = 14 + -14 + -3x -4x = 14 + -14 + -3x Combine like terms: 14 + -14 = 0 -4x = 0 + -3x -4x = -3x Solving -4x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4x + 3x = -3x + 3x Combine like terms: -4x + 3x = -1x -1x = -3x + 3x Combine like terms: -3x + 3x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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