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Simplifying 4(5x + 3 + -2x + 8) + -2 + 7 + -1x = -28 Reorder the terms: 4(3 + 8 + 5x + -2x) + -2 + 7 + -1x = -28 Combine like terms: 3 + 8 = 11 4(11 + 5x + -2x) + -2 + 7 + -1x = -28 Combine like terms: 5x + -2x = 3x 4(11 + 3x) + -2 + 7 + -1x = -28 (11 * 4 + 3x * 4) + -2 + 7 + -1x = -28 (44 + 12x) + -2 + 7 + -1x = -28 Reorder the terms: 44 + -2 + 7 + 12x + -1x = -28 Combine like terms: 44 + -2 = 42 42 + 7 + 12x + -1x = -28 Combine like terms: 42 + 7 = 49 49 + 12x + -1x = -28 Combine like terms: 12x + -1x = 11x 49 + 11x = -28 Solving 49 + 11x = -28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 11x = -28 + -49 Combine like terms: 49 + -49 = 0 0 + 11x = -28 + -49 11x = -28 + -49 Combine like terms: -28 + -49 = -77 11x = -77 Divide each side by '11'. x = -7 Simplifying x = -7
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