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Simplifying 50 = (12x + 8) + -1(4x + 4) Reorder the terms: 50 = (8 + 12x) + -1(4x + 4) Remove parenthesis around (8 + 12x) 50 = 8 + 12x + -1(4x + 4) Reorder the terms: 50 = 8 + 12x + -1(4 + 4x) 50 = 8 + 12x + (4 * -1 + 4x * -1) 50 = 8 + 12x + (-4 + -4x) Reorder the terms: 50 = 8 + -4 + 12x + -4x Combine like terms: 8 + -4 = 4 50 = 4 + 12x + -4x Combine like terms: 12x + -4x = 8x 50 = 4 + 8x Solving 50 = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 50 + -8x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 50 + -8x = 4 + 0 50 + -8x = 4 Add '-50' to each side of the equation. 50 + -50 + -8x = 4 + -50 Combine like terms: 50 + -50 = 0 0 + -8x = 4 + -50 -8x = 4 + -50 Combine like terms: 4 + -50 = -46 -8x = -46 Divide each side by '-8'. x = 5.75 Simplifying x = 5.75
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