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Simplifying 2(x + 3) + -5 = 17(4x + -2) Reorder the terms: 2(3 + x) + -5 = 17(4x + -2) (3 * 2 + x * 2) + -5 = 17(4x + -2) (6 + 2x) + -5 = 17(4x + -2) Reorder the terms: 6 + -5 + 2x = 17(4x + -2) Combine like terms: 6 + -5 = 1 1 + 2x = 17(4x + -2) Reorder the terms: 1 + 2x = 17(-2 + 4x) 1 + 2x = (-2 * 17 + 4x * 17) 1 + 2x = (-34 + 68x) Solving 1 + 2x = -34 + 68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68x' to each side of the equation. 1 + 2x + -68x = -34 + 68x + -68x Combine like terms: 2x + -68x = -66x 1 + -66x = -34 + 68x + -68x Combine like terms: 68x + -68x = 0 1 + -66x = -34 + 0 1 + -66x = -34 Add '-1' to each side of the equation. 1 + -1 + -66x = -34 + -1 Combine like terms: 1 + -1 = 0 0 + -66x = -34 + -1 -66x = -34 + -1 Combine like terms: -34 + -1 = -35 -66x = -35 Divide each side by '-66'. x = 0.5303030303 Simplifying x = 0.5303030303
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