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Simplifying 4(x + 5) + 7(2x + 2) = 17(x + 1) + -6 Reorder the terms: 4(5 + x) + 7(2x + 2) = 17(x + 1) + -6 (5 * 4 + x * 4) + 7(2x + 2) = 17(x + 1) + -6 (20 + 4x) + 7(2x + 2) = 17(x + 1) + -6 Reorder the terms: 20 + 4x + 7(2 + 2x) = 17(x + 1) + -6 20 + 4x + (2 * 7 + 2x * 7) = 17(x + 1) + -6 20 + 4x + (14 + 14x) = 17(x + 1) + -6 Reorder the terms: 20 + 14 + 4x + 14x = 17(x + 1) + -6 Combine like terms: 20 + 14 = 34 34 + 4x + 14x = 17(x + 1) + -6 Combine like terms: 4x + 14x = 18x 34 + 18x = 17(x + 1) + -6 Reorder the terms: 34 + 18x = 17(1 + x) + -6 34 + 18x = (1 * 17 + x * 17) + -6 34 + 18x = (17 + 17x) + -6 Reorder the terms: 34 + 18x = 17 + -6 + 17x Combine like terms: 17 + -6 = 11 34 + 18x = 11 + 17x Solving 34 + 18x = 11 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 34 + 18x + -17x = 11 + 17x + -17x Combine like terms: 18x + -17x = 1x 34 + 1x = 11 + 17x + -17x Combine like terms: 17x + -17x = 0 34 + 1x = 11 + 0 34 + 1x = 11 Add '-34' to each side of the equation. 34 + -34 + 1x = 11 + -34 Combine like terms: 34 + -34 = 0 0 + 1x = 11 + -34 1x = 11 + -34 Combine like terms: 11 + -34 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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