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Simplifying 2(2x + 3) + 7 = 5x + 4 Reorder the terms: 2(3 + 2x) + 7 = 5x + 4 (3 * 2 + 2x * 2) + 7 = 5x + 4 (6 + 4x) + 7 = 5x + 4 Reorder the terms: 6 + 7 + 4x = 5x + 4 Combine like terms: 6 + 7 = 13 13 + 4x = 5x + 4 Reorder the terms: 13 + 4x = 4 + 5x Solving 13 + 4x = 4 + 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. 13 + 4x + -5x = 4 + 5x + -5x Combine like terms: 4x + -5x = -1x 13 + -1x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -1x = 4 + 0 13 + -1x = 4 Add '-13' to each side of the equation. 13 + -13 + -1x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 4 + -13 -1x = 4 + -13 Combine like terms: 4 + -13 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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