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Simplifying 334 + 13x = 2(20x + 22) + 2(15x + -26) Reorder the terms: 334 + 13x = 2(22 + 20x) + 2(15x + -26) 334 + 13x = (22 * 2 + 20x * 2) + 2(15x + -26) 334 + 13x = (44 + 40x) + 2(15x + -26) Reorder the terms: 334 + 13x = 44 + 40x + 2(-26 + 15x) 334 + 13x = 44 + 40x + (-26 * 2 + 15x * 2) 334 + 13x = 44 + 40x + (-52 + 30x) Reorder the terms: 334 + 13x = 44 + -52 + 40x + 30x Combine like terms: 44 + -52 = -8 334 + 13x = -8 + 40x + 30x Combine like terms: 40x + 30x = 70x 334 + 13x = -8 + 70x Solving 334 + 13x = -8 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. 334 + 13x + -70x = -8 + 70x + -70x Combine like terms: 13x + -70x = -57x 334 + -57x = -8 + 70x + -70x Combine like terms: 70x + -70x = 0 334 + -57x = -8 + 0 334 + -57x = -8 Add '-334' to each side of the equation. 334 + -334 + -57x = -8 + -334 Combine like terms: 334 + -334 = 0 0 + -57x = -8 + -334 -57x = -8 + -334 Combine like terms: -8 + -334 = -342 -57x = -342 Divide each side by '-57'. x = 6 Simplifying x = 6
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