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Simplifying 5(x + 7) + 2 = 2x + 11 Reorder the terms: 5(7 + x) + 2 = 2x + 11 (7 * 5 + x * 5) + 2 = 2x + 11 (35 + 5x) + 2 = 2x + 11 Reorder the terms: 35 + 2 + 5x = 2x + 11 Combine like terms: 35 + 2 = 37 37 + 5x = 2x + 11 Reorder the terms: 37 + 5x = 11 + 2x Solving 37 + 5x = 11 + 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. 37 + 5x + -2x = 11 + 2x + -2x Combine like terms: 5x + -2x = 3x 37 + 3x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 37 + 3x = 11 + 0 37 + 3x = 11 Add '-37' to each side of the equation. 37 + -37 + 3x = 11 + -37 Combine like terms: 37 + -37 = 0 0 + 3x = 11 + -37 3x = 11 + -37 Combine like terms: 11 + -37 = -26 3x = -26 Divide each side by '3'. x = -8.666666667 Simplifying x = -8.666666667
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