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Simplifying -20x + 4(7 + 3x) = -9(x + -2) -20x + (7 * 4 + 3x * 4) = -9(x + -2) -20x + (28 + 12x) = -9(x + -2) Reorder the terms: 28 + -20x + 12x = -9(x + -2) Combine like terms: -20x + 12x = -8x 28 + -8x = -9(x + -2) Reorder the terms: 28 + -8x = -9(-2 + x) 28 + -8x = (-2 * -9 + x * -9) 28 + -8x = (18 + -9x) Solving 28 + -8x = 18 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 28 + -8x + 9x = 18 + -9x + 9x Combine like terms: -8x + 9x = 1x 28 + 1x = 18 + -9x + 9x Combine like terms: -9x + 9x = 0 28 + 1x = 18 + 0 28 + 1x = 18 Add '-28' to each side of the equation. 28 + -28 + 1x = 18 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 18 + -28 1x = 18 + -28 Combine like terms: 18 + -28 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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