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Simplifying 48(2x + -1) = 8(x + 5) + 2 Reorder the terms: 48(-1 + 2x) = 8(x + 5) + 2 (-1 * 48 + 2x * 48) = 8(x + 5) + 2 (-48 + 96x) = 8(x + 5) + 2 Reorder the terms: -48 + 96x = 8(5 + x) + 2 -48 + 96x = (5 * 8 + x * 8) + 2 -48 + 96x = (40 + 8x) + 2 Reorder the terms: -48 + 96x = 40 + 2 + 8x Combine like terms: 40 + 2 = 42 -48 + 96x = 42 + 8x Solving -48 + 96x = 42 + 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. -48 + 96x + -8x = 42 + 8x + -8x Combine like terms: 96x + -8x = 88x -48 + 88x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 -48 + 88x = 42 + 0 -48 + 88x = 42 Add '48' to each side of the equation. -48 + 48 + 88x = 42 + 48 Combine like terms: -48 + 48 = 0 0 + 88x = 42 + 48 88x = 42 + 48 Combine like terms: 42 + 48 = 90 88x = 90 Divide each side by '88'. x = 1.022727273 Simplifying x = 1.022727273
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