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Simplifying 2(2x + 5) = 7(x + 6) + 17 Reorder the terms: 2(5 + 2x) = 7(x + 6) + 17 (5 * 2 + 2x * 2) = 7(x + 6) + 17 (10 + 4x) = 7(x + 6) + 17 Reorder the terms: 10 + 4x = 7(6 + x) + 17 10 + 4x = (6 * 7 + x * 7) + 17 10 + 4x = (42 + 7x) + 17 Reorder the terms: 10 + 4x = 42 + 17 + 7x Combine like terms: 42 + 17 = 59 10 + 4x = 59 + 7x Solving 10 + 4x = 59 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 4x + -7x = 59 + 7x + -7x Combine like terms: 4x + -7x = -3x 10 + -3x = 59 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -3x = 59 + 0 10 + -3x = 59 Add '-10' to each side of the equation. 10 + -10 + -3x = 59 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 59 + -10 -3x = 59 + -10 Combine like terms: 59 + -10 = 49 -3x = 49 Divide each side by '-3'. x = -16.33333333 Simplifying x = -16.33333333
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