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Simplifying 8(-3x + 1) + 7(5x + 6) = 28 Reorder the terms: 8(1 + -3x) + 7(5x + 6) = 28 (1 * 8 + -3x * 8) + 7(5x + 6) = 28 (8 + -24x) + 7(5x + 6) = 28 Reorder the terms: 8 + -24x + 7(6 + 5x) = 28 8 + -24x + (6 * 7 + 5x * 7) = 28 8 + -24x + (42 + 35x) = 28 Reorder the terms: 8 + 42 + -24x + 35x = 28 Combine like terms: 8 + 42 = 50 50 + -24x + 35x = 28 Combine like terms: -24x + 35x = 11x 50 + 11x = 28 Solving 50 + 11x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 11x = 28 + -50 Combine like terms: 50 + -50 = 0 0 + 11x = 28 + -50 11x = 28 + -50 Combine like terms: 28 + -50 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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