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Simplifying 3x + 26 = 7(x + -6) Reorder the terms: 26 + 3x = 7(x + -6) Reorder the terms: 26 + 3x = 7(-6 + x) 26 + 3x = (-6 * 7 + x * 7) 26 + 3x = (-42 + 7x) Solving 26 + 3x = -42 + 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. 26 + 3x + -7x = -42 + 7x + -7x Combine like terms: 3x + -7x = -4x 26 + -4x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 26 + -4x = -42 + 0 26 + -4x = -42 Add '-26' to each side of the equation. 26 + -26 + -4x = -42 + -26 Combine like terms: 26 + -26 = 0 0 + -4x = -42 + -26 -4x = -42 + -26 Combine like terms: -42 + -26 = -68 -4x = -68 Divide each side by '-4'. x = 17 Simplifying x = 17
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