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Simplifying 5(2x + 4) = -1(-9x + -4) Reorder the terms: 5(4 + 2x) = -1(-9x + -4) (4 * 5 + 2x * 5) = -1(-9x + -4) (20 + 10x) = -1(-9x + -4) Reorder the terms: 20 + 10x = -1(-4 + -9x) 20 + 10x = (-4 * -1 + -9x * -1) 20 + 10x = (4 + 9x) Solving 20 + 10x = 4 + 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. 20 + 10x + -9x = 4 + 9x + -9x Combine like terms: 10x + -9x = 1x 20 + 1x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + 1x = 4 + 0 20 + 1x = 4 Add '-20' to each side of the equation. 20 + -20 + 1x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 4 + -20 1x = 4 + -20 Combine like terms: 4 + -20 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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