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Simplifying 28 = -8(1 + 3x) + 2(1 + -5x) 28 = (1 * -8 + 3x * -8) + 2(1 + -5x) 28 = (-8 + -24x) + 2(1 + -5x) 28 = -8 + -24x + (1 * 2 + -5x * 2) 28 = -8 + -24x + (2 + -10x) Reorder the terms: 28 = -8 + 2 + -24x + -10x Combine like terms: -8 + 2 = -6 28 = -6 + -24x + -10x Combine like terms: -24x + -10x = -34x 28 = -6 + -34x Solving 28 = -6 + -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. 28 + 34x = -6 + -34x + 34x Combine like terms: -34x + 34x = 0 28 + 34x = -6 + 0 28 + 34x = -6 Add '-28' to each side of the equation. 28 + -28 + 34x = -6 + -28 Combine like terms: 28 + -28 = 0 0 + 34x = -6 + -28 34x = -6 + -28 Combine like terms: -6 + -28 = -34 34x = -34 Divide each side by '34'. x = -1 Simplifying x = -1
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