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Simplifying 15x + 8 = 3(5 + -2x) + 2(21 + -14x) Reorder the terms: 8 + 15x = 3(5 + -2x) + 2(21 + -14x) 8 + 15x = (5 * 3 + -2x * 3) + 2(21 + -14x) 8 + 15x = (15 + -6x) + 2(21 + -14x) 8 + 15x = 15 + -6x + (21 * 2 + -14x * 2) 8 + 15x = 15 + -6x + (42 + -28x) Reorder the terms: 8 + 15x = 15 + 42 + -6x + -28x Combine like terms: 15 + 42 = 57 8 + 15x = 57 + -6x + -28x Combine like terms: -6x + -28x = -34x 8 + 15x = 57 + -34x Solving 8 + 15x = 57 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. 8 + 15x + 34x = 57 + -34x + 34x Combine like terms: 15x + 34x = 49x 8 + 49x = 57 + -34x + 34x Combine like terms: -34x + 34x = 0 8 + 49x = 57 + 0 8 + 49x = 57 Add '-8' to each side of the equation. 8 + -8 + 49x = 57 + -8 Combine like terms: 8 + -8 = 0 0 + 49x = 57 + -8 49x = 57 + -8 Combine like terms: 57 + -8 = 49 49x = 49 Divide each side by '49'. x = 1 Simplifying x = 1
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