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Simplifying 2x + 38 = 5(3x + 5) Reorder the terms: 38 + 2x = 5(3x + 5) Reorder the terms: 38 + 2x = 5(5 + 3x) 38 + 2x = (5 * 5 + 3x * 5) 38 + 2x = (25 + 15x) Solving 38 + 2x = 25 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 38 + 2x + -15x = 25 + 15x + -15x Combine like terms: 2x + -15x = -13x 38 + -13x = 25 + 15x + -15x Combine like terms: 15x + -15x = 0 38 + -13x = 25 + 0 38 + -13x = 25 Add '-38' to each side of the equation. 38 + -38 + -13x = 25 + -38 Combine like terms: 38 + -38 = 0 0 + -13x = 25 + -38 -13x = 25 + -38 Combine like terms: 25 + -38 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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