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Simplifying 13x + 3 = 3(3x + -1) + 7 Reorder the terms: 3 + 13x = 3(3x + -1) + 7 Reorder the terms: 3 + 13x = 3(-1 + 3x) + 7 3 + 13x = (-1 * 3 + 3x * 3) + 7 3 + 13x = (-3 + 9x) + 7 Reorder the terms: 3 + 13x = -3 + 7 + 9x Combine like terms: -3 + 7 = 4 3 + 13x = 4 + 9x Solving 3 + 13x = 4 + 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. 3 + 13x + -9x = 4 + 9x + -9x Combine like terms: 13x + -9x = 4x 3 + 4x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + 4x = 4 + 0 3 + 4x = 4 Add '-3' to each side of the equation. 3 + -3 + 4x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 4 + -3 4x = 4 + -3 Combine like terms: 4 + -3 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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