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Simplifying 48(2x + -1) = 8(x + 4) + 3x Reorder the terms: 48(-1 + 2x) = 8(x + 4) + 3x (-1 * 48 + 2x * 48) = 8(x + 4) + 3x (-48 + 96x) = 8(x + 4) + 3x Reorder the terms: -48 + 96x = 8(4 + x) + 3x -48 + 96x = (4 * 8 + x * 8) + 3x -48 + 96x = (32 + 8x) + 3x Combine like terms: 8x + 3x = 11x -48 + 96x = 32 + 11x Solving -48 + 96x = 32 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -48 + 96x + -11x = 32 + 11x + -11x Combine like terms: 96x + -11x = 85x -48 + 85x = 32 + 11x + -11x Combine like terms: 11x + -11x = 0 -48 + 85x = 32 + 0 -48 + 85x = 32 Add '48' to each side of the equation. -48 + 48 + 85x = 32 + 48 Combine like terms: -48 + 48 = 0 0 + 85x = 32 + 48 85x = 32 + 48 Combine like terms: 32 + 48 = 80 85x = 80 Divide each side by '85'. x = 0.9411764706 Simplifying x = 0.9411764706
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