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Simplifying 5(10 + 2x) = -1(-4 + -8x) + 4x (10 * 5 + 2x * 5) = -1(-4 + -8x) + 4x (50 + 10x) = -1(-4 + -8x) + 4x 50 + 10x = (-4 * -1 + -8x * -1) + 4x 50 + 10x = (4 + 8x) + 4x Combine like terms: 8x + 4x = 12x 50 + 10x = 4 + 12x Solving 50 + 10x = 4 + 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. 50 + 10x + -12x = 4 + 12x + -12x Combine like terms: 10x + -12x = -2x 50 + -2x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 50 + -2x = 4 + 0 50 + -2x = 4 Add '-50' to each side of the equation. 50 + -50 + -2x = 4 + -50 Combine like terms: 50 + -50 = 0 0 + -2x = 4 + -50 -2x = 4 + -50 Combine like terms: 4 + -50 = -46 -2x = -46 Divide each side by '-2'. x = 23 Simplifying x = 23
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