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Simplifying 48(2x + -1) = 8(x + 5) + 2x Reorder the terms: 48(-1 + 2x) = 8(x + 5) + 2x (-1 * 48 + 2x * 48) = 8(x + 5) + 2x (-48 + 96x) = 8(x + 5) + 2x Reorder the terms: -48 + 96x = 8(5 + x) + 2x -48 + 96x = (5 * 8 + x * 8) + 2x -48 + 96x = (40 + 8x) + 2x Combine like terms: 8x + 2x = 10x -48 + 96x = 40 + 10x Solving -48 + 96x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -48 + 96x + -10x = 40 + 10x + -10x Combine like terms: 96x + -10x = 86x -48 + 86x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 -48 + 86x = 40 + 0 -48 + 86x = 40 Add '48' to each side of the equation. -48 + 48 + 86x = 40 + 48 Combine like terms: -48 + 48 = 0 0 + 86x = 40 + 48 86x = 40 + 48 Combine like terms: 40 + 48 = 88 86x = 88 Divide each side by '86'. x = 1.023255814 Simplifying x = 1.023255814
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