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Simplifying 5x + 26 = 3(x + 1) + -2x Reorder the terms: 26 + 5x = 3(x + 1) + -2x Reorder the terms: 26 + 5x = 3(1 + x) + -2x 26 + 5x = (1 * 3 + x * 3) + -2x 26 + 5x = (3 + 3x) + -2x Combine like terms: 3x + -2x = 1x 26 + 5x = 3 + 1x Solving 26 + 5x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 26 + 5x + -1x = 3 + 1x + -1x Combine like terms: 5x + -1x = 4x 26 + 4x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 26 + 4x = 3 + 0 26 + 4x = 3 Add '-26' to each side of the equation. 26 + -26 + 4x = 3 + -26 Combine like terms: 26 + -26 = 0 0 + 4x = 3 + -26 4x = 3 + -26 Combine like terms: 3 + -26 = -23 4x = -23 Divide each side by '4'. x = -5.75 Simplifying x = -5.75
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