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Simplifying 15(x + 28) + 21(22x + -20) = 34x + -7x Reorder the terms: 15(28 + x) + 21(22x + -20) = 34x + -7x (28 * 15 + x * 15) + 21(22x + -20) = 34x + -7x (420 + 15x) + 21(22x + -20) = 34x + -7x Reorder the terms: 420 + 15x + 21(-20 + 22x) = 34x + -7x 420 + 15x + (-20 * 21 + 22x * 21) = 34x + -7x 420 + 15x + (-420 + 462x) = 34x + -7x Reorder the terms: 420 + -420 + 15x + 462x = 34x + -7x Combine like terms: 420 + -420 = 0 0 + 15x + 462x = 34x + -7x 15x + 462x = 34x + -7x Combine like terms: 15x + 462x = 477x 477x = 34x + -7x Combine like terms: 34x + -7x = 27x 477x = 27x Solving 477x = 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 477x + -27x = 27x + -27x Combine like terms: 477x + -27x = 450x 450x = 27x + -27x Combine like terms: 27x + -27x = 0 450x = 0 Divide each side by '450'. x = 0.0 Simplifying x = 0.0
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