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Simplifying 4(5x + -2) + 26 = 13x + 4 Reorder the terms: 4(-2 + 5x) + 26 = 13x + 4 (-2 * 4 + 5x * 4) + 26 = 13x + 4 (-8 + 20x) + 26 = 13x + 4 Reorder the terms: -8 + 26 + 20x = 13x + 4 Combine like terms: -8 + 26 = 18 18 + 20x = 13x + 4 Reorder the terms: 18 + 20x = 4 + 13x Solving 18 + 20x = 4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 18 + 20x + -13x = 4 + 13x + -13x Combine like terms: 20x + -13x = 7x 18 + 7x = 4 + 13x + -13x Combine like terms: 13x + -13x = 0 18 + 7x = 4 + 0 18 + 7x = 4 Add '-18' to each side of the equation. 18 + -18 + 7x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 4 + -18 7x = 4 + -18 Combine like terms: 4 + -18 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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