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Simplifying 8(x + -1) + 3(x + 4) = 48 Reorder the terms: 8(-1 + x) + 3(x + 4) = 48 (-1 * 8 + x * 8) + 3(x + 4) = 48 (-8 + 8x) + 3(x + 4) = 48 Reorder the terms: -8 + 8x + 3(4 + x) = 48 -8 + 8x + (4 * 3 + x * 3) = 48 -8 + 8x + (12 + 3x) = 48 Reorder the terms: -8 + 12 + 8x + 3x = 48 Combine like terms: -8 + 12 = 4 4 + 8x + 3x = 48 Combine like terms: 8x + 3x = 11x 4 + 11x = 48 Solving 4 + 11x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 11x = 48 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 48 + -4 11x = 48 + -4 Combine like terms: 48 + -4 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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