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Simplifying 26 + 3x = 8x + 2(7x + -6) Reorder the terms: 26 + 3x = 8x + 2(-6 + 7x) 26 + 3x = 8x + (-6 * 2 + 7x * 2) 26 + 3x = 8x + (-12 + 14x) Reorder the terms: 26 + 3x = -12 + 8x + 14x Combine like terms: 8x + 14x = 22x 26 + 3x = -12 + 22x Solving 26 + 3x = -12 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 26 + 3x + -22x = -12 + 22x + -22x Combine like terms: 3x + -22x = -19x 26 + -19x = -12 + 22x + -22x Combine like terms: 22x + -22x = 0 26 + -19x = -12 + 0 26 + -19x = -12 Add '-26' to each side of the equation. 26 + -26 + -19x = -12 + -26 Combine like terms: 26 + -26 = 0 0 + -19x = -12 + -26 -19x = -12 + -26 Combine like terms: -12 + -26 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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