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Simplifying 4[2x + -1(3 + -1x) + 5] = -6x + -28 4[2x + (3 * -1 + -1x * -1) + 5] = -6x + -28 4[2x + (-3 + 1x) + 5] = -6x + -28 Reorder the terms: 4[-3 + 5 + 2x + 1x] = -6x + -28 Combine like terms: -3 + 5 = 2 4[2 + 2x + 1x] = -6x + -28 Combine like terms: 2x + 1x = 3x 4[2 + 3x] = -6x + -28 [2 * 4 + 3x * 4] = -6x + -28 [8 + 12x] = -6x + -28 Reorder the terms: 8 + 12x = -28 + -6x Solving 8 + 12x = -28 + -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. 8 + 12x + 6x = -28 + -6x + 6x Combine like terms: 12x + 6x = 18x 8 + 18x = -28 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 18x = -28 + 0 8 + 18x = -28 Add '-8' to each side of the equation. 8 + -8 + 18x = -28 + -8 Combine like terms: 8 + -8 = 0 0 + 18x = -28 + -8 18x = -28 + -8 Combine like terms: -28 + -8 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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