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Simplifying 8(2x + -2) = 2(3x + 1) + -28 Reorder the terms: 8(-2 + 2x) = 2(3x + 1) + -28 (-2 * 8 + 2x * 8) = 2(3x + 1) + -28 (-16 + 16x) = 2(3x + 1) + -28 Reorder the terms: -16 + 16x = 2(1 + 3x) + -28 -16 + 16x = (1 * 2 + 3x * 2) + -28 -16 + 16x = (2 + 6x) + -28 Reorder the terms: -16 + 16x = 2 + -28 + 6x Combine like terms: 2 + -28 = -26 -16 + 16x = -26 + 6x Solving -16 + 16x = -26 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 16x + -6x = -26 + 6x + -6x Combine like terms: 16x + -6x = 10x -16 + 10x = -26 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 10x = -26 + 0 -16 + 10x = -26 Add '16' to each side of the equation. -16 + 16 + 10x = -26 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = -26 + 16 10x = -26 + 16 Combine like terms: -26 + 16 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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