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Simplifying 4(3x + 5) + -3(4 + -2x) = -28 Reorder the terms: 4(5 + 3x) + -3(4 + -2x) = -28 (5 * 4 + 3x * 4) + -3(4 + -2x) = -28 (20 + 12x) + -3(4 + -2x) = -28 20 + 12x + (4 * -3 + -2x * -3) = -28 20 + 12x + (-12 + 6x) = -28 Reorder the terms: 20 + -12 + 12x + 6x = -28 Combine like terms: 20 + -12 = 8 8 + 12x + 6x = -28 Combine like terms: 12x + 6x = 18x 8 + 18x = -28 Solving 8 + 18x = -28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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