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Simplifying 2(x + 3) + x + 7 = (2x + 9) + 5(4 + -1x) + 3 Reorder the terms: 2(3 + x) + x + 7 = (2x + 9) + 5(4 + -1x) + 3 (3 * 2 + x * 2) + x + 7 = (2x + 9) + 5(4 + -1x) + 3 (6 + 2x) + x + 7 = (2x + 9) + 5(4 + -1x) + 3 Reorder the terms: 6 + 7 + 2x + x = (2x + 9) + 5(4 + -1x) + 3 Combine like terms: 6 + 7 = 13 13 + 2x + x = (2x + 9) + 5(4 + -1x) + 3 Combine like terms: 2x + x = 3x 13 + 3x = (2x + 9) + 5(4 + -1x) + 3 Reorder the terms: 13 + 3x = (9 + 2x) + 5(4 + -1x) + 3 Remove parenthesis around (9 + 2x) 13 + 3x = 9 + 2x + 5(4 + -1x) + 3 13 + 3x = 9 + 2x + (4 * 5 + -1x * 5) + 3 13 + 3x = 9 + 2x + (20 + -5x) + 3 Reorder the terms: 13 + 3x = 9 + 20 + 3 + 2x + -5x Combine like terms: 9 + 20 = 29 13 + 3x = 29 + 3 + 2x + -5x Combine like terms: 29 + 3 = 32 13 + 3x = 32 + 2x + -5x Combine like terms: 2x + -5x = -3x 13 + 3x = 32 + -3x Solving 13 + 3x = 32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 13 + 3x + 3x = 32 + -3x + 3x Combine like terms: 3x + 3x = 6x 13 + 6x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + 6x = 32 + 0 13 + 6x = 32 Add '-13' to each side of the equation. 13 + -13 + 6x = 32 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 32 + -13 6x = 32 + -13 Combine like terms: 32 + -13 = 19 6x = 19 Divide each side by '6'. x = 3.166666667 Simplifying x = 3.166666667
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