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Simplifying 2(3x + 5) + 3 = 2x + 41 Reorder the terms: 2(5 + 3x) + 3 = 2x + 41 (5 * 2 + 3x * 2) + 3 = 2x + 41 (10 + 6x) + 3 = 2x + 41 Reorder the terms: 10 + 3 + 6x = 2x + 41 Combine like terms: 10 + 3 = 13 13 + 6x = 2x + 41 Reorder the terms: 13 + 6x = 41 + 2x Solving 13 + 6x = 41 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + 6x + -2x = 41 + 2x + -2x Combine like terms: 6x + -2x = 4x 13 + 4x = 41 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 4x = 41 + 0 13 + 4x = 41 Add '-13' to each side of the equation. 13 + -13 + 4x = 41 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 41 + -13 4x = 41 + -13 Combine like terms: 41 + -13 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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