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Simplifying 8(1 + -2x) + 7(x + -1) = 28 (1 * 8 + -2x * 8) + 7(x + -1) = 28 (8 + -16x) + 7(x + -1) = 28 Reorder the terms: 8 + -16x + 7(-1 + x) = 28 8 + -16x + (-1 * 7 + x * 7) = 28 8 + -16x + (-7 + 7x) = 28 Reorder the terms: 8 + -7 + -16x + 7x = 28 Combine like terms: 8 + -7 = 1 1 + -16x + 7x = 28 Combine like terms: -16x + 7x = -9x 1 + -9x = 28 Solving 1 + -9x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9x = 28 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 28 + -1 -9x = 28 + -1 Combine like terms: 28 + -1 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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