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Simplifying 2(2x + 1) + 5 = 5x + 3 Reorder the terms: 2(1 + 2x) + 5 = 5x + 3 (1 * 2 + 2x * 2) + 5 = 5x + 3 (2 + 4x) + 5 = 5x + 3 Reorder the terms: 2 + 5 + 4x = 5x + 3 Combine like terms: 2 + 5 = 7 7 + 4x = 5x + 3 Reorder the terms: 7 + 4x = 3 + 5x Solving 7 + 4x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 4x + -5x = 3 + 5x + -5x Combine like terms: 4x + -5x = -1x 7 + -1x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -1x = 3 + 0 7 + -1x = 3 Add '-7' to each side of the equation. 7 + -7 + -1x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 3 + -7 -1x = 3 + -7 Combine like terms: 3 + -7 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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