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Simplifying 5x + 3(1 + 4x) = 26 + -6x 5x + (1 * 3 + 4x * 3) = 26 + -6x 5x + (3 + 12x) = 26 + -6x Reorder the terms: 3 + 5x + 12x = 26 + -6x Combine like terms: 5x + 12x = 17x 3 + 17x = 26 + -6x Solving 3 + 17x = 26 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + 17x + 6x = 26 + -6x + 6x Combine like terms: 17x + 6x = 23x 3 + 23x = 26 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 23x = 26 + 0 3 + 23x = 26 Add '-3' to each side of the equation. 3 + -3 + 23x = 26 + -3 Combine like terms: 3 + -3 = 0 0 + 23x = 26 + -3 23x = 26 + -3 Combine like terms: 26 + -3 = 23 23x = 23 Divide each side by '23'. x = 1 Simplifying x = 1
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