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Simplifying 2(2x + 3) + x + 7 = 2(2x + 9) + 5(4 + -1x) + 3 Reorder the terms: 2(3 + 2x) + x + 7 = 2(2x + 9) + 5(4 + -1x) + 3 (3 * 2 + 2x * 2) + x + 7 = 2(2x + 9) + 5(4 + -1x) + 3 (6 + 4x) + x + 7 = 2(2x + 9) + 5(4 + -1x) + 3 Reorder the terms: 6 + 7 + 4x + x = 2(2x + 9) + 5(4 + -1x) + 3 Combine like terms: 6 + 7 = 13 13 + 4x + x = 2(2x + 9) + 5(4 + -1x) + 3 Combine like terms: 4x + x = 5x 13 + 5x = 2(2x + 9) + 5(4 + -1x) + 3 Reorder the terms: 13 + 5x = 2(9 + 2x) + 5(4 + -1x) + 3 13 + 5x = (9 * 2 + 2x * 2) + 5(4 + -1x) + 3 13 + 5x = (18 + 4x) + 5(4 + -1x) + 3 13 + 5x = 18 + 4x + (4 * 5 + -1x * 5) + 3 13 + 5x = 18 + 4x + (20 + -5x) + 3 Reorder the terms: 13 + 5x = 18 + 20 + 3 + 4x + -5x Combine like terms: 18 + 20 = 38 13 + 5x = 38 + 3 + 4x + -5x Combine like terms: 38 + 3 = 41 13 + 5x = 41 + 4x + -5x Combine like terms: 4x + -5x = -1x 13 + 5x = 41 + -1x Solving 13 + 5x = 41 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 13 + 5x + x = 41 + -1x + x Combine like terms: 5x + x = 6x 13 + 6x = 41 + -1x + x Combine like terms: -1x + x = 0 13 + 6x = 41 + 0 13 + 6x = 41 Add '-13' to each side of the equation. 13 + -13 + 6x = 41 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 41 + -13 6x = 41 + -13 Combine like terms: 41 + -13 = 28 6x = 28 Divide each side by '6'. x = 4.666666667 Simplifying x = 4.666666667
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