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Simplifying 10(2x + 4) = -1(-8 + -9x) + 3x Reorder the terms: 10(4 + 2x) = -1(-8 + -9x) + 3x (4 * 10 + 2x * 10) = -1(-8 + -9x) + 3x (40 + 20x) = -1(-8 + -9x) + 3x 40 + 20x = (-8 * -1 + -9x * -1) + 3x 40 + 20x = (8 + 9x) + 3x Combine like terms: 9x + 3x = 12x 40 + 20x = 8 + 12x Solving 40 + 20x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + 20x + -12x = 8 + 12x + -12x Combine like terms: 20x + -12x = 8x 40 + 8x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + 8x = 8 + 0 40 + 8x = 8 Add '-40' to each side of the equation. 40 + -40 + 8x = 8 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = 8 + -40 8x = 8 + -40 Combine like terms: 8 + -40 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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