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Simplifying 3x + 1 = 3(3x + 1) + -5 Reorder the terms: 1 + 3x = 3(3x + 1) + -5 Reorder the terms: 1 + 3x = 3(1 + 3x) + -5 1 + 3x = (1 * 3 + 3x * 3) + -5 1 + 3x = (3 + 9x) + -5 Reorder the terms: 1 + 3x = 3 + -5 + 9x Combine like terms: 3 + -5 = -2 1 + 3x = -2 + 9x Solving 1 + 3x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 3x + -9x = -2 + 9x + -9x Combine like terms: 3x + -9x = -6x 1 + -6x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -6x = -2 + 0 1 + -6x = -2 Add '-1' to each side of the equation. 1 + -1 + -6x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -2 + -1 -6x = -2 + -1 Combine like terms: -2 + -1 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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