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Simplifying 5(x + 3) + 7 = 13x + 5 Reorder the terms: 5(3 + x) + 7 = 13x + 5 (3 * 5 + x * 5) + 7 = 13x + 5 (15 + 5x) + 7 = 13x + 5 Reorder the terms: 15 + 7 + 5x = 13x + 5 Combine like terms: 15 + 7 = 22 22 + 5x = 13x + 5 Reorder the terms: 22 + 5x = 5 + 13x Solving 22 + 5x = 5 + 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. 22 + 5x + -13x = 5 + 13x + -13x Combine like terms: 5x + -13x = -8x 22 + -8x = 5 + 13x + -13x Combine like terms: 13x + -13x = 0 22 + -8x = 5 + 0 22 + -8x = 5 Add '-22' to each side of the equation. 22 + -22 + -8x = 5 + -22 Combine like terms: 22 + -22 = 0 0 + -8x = 5 + -22 -8x = 5 + -22 Combine like terms: 5 + -22 = -17 -8x = -17 Divide each side by '-8'. x = 2.125 Simplifying x = 2.125
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