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Simplifying -3(4x + 3) + 4(x + 1) = 48 Reorder the terms: -3(3 + 4x) + 4(x + 1) = 48 (3 * -3 + 4x * -3) + 4(x + 1) = 48 (-9 + -12x) + 4(x + 1) = 48 Reorder the terms: -9 + -12x + 4(1 + x) = 48 -9 + -12x + (1 * 4 + x * 4) = 48 -9 + -12x + (4 + 4x) = 48 Reorder the terms: -9 + 4 + -12x + 4x = 48 Combine like terms: -9 + 4 = -5 -5 + -12x + 4x = 48 Combine like terms: -12x + 4x = -8x -5 + -8x = 48 Solving -5 + -8x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8x = 48 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 48 + 5 -8x = 48 + 5 Combine like terms: 48 + 5 = 53 -8x = 53 Divide each side by '-8'. x = -6.625 Simplifying x = -6.625
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