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Simplifying 48(x + -1) = 8(6 + -1x) + 40x Reorder the terms: 48(-1 + x) = 8(6 + -1x) + 40x (-1 * 48 + x * 48) = 8(6 + -1x) + 40x (-48 + 48x) = 8(6 + -1x) + 40x -48 + 48x = (6 * 8 + -1x * 8) + 40x -48 + 48x = (48 + -8x) + 40x Combine like terms: -8x + 40x = 32x -48 + 48x = 48 + 32x Solving -48 + 48x = 48 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -48 + 48x + -32x = 48 + 32x + -32x Combine like terms: 48x + -32x = 16x -48 + 16x = 48 + 32x + -32x Combine like terms: 32x + -32x = 0 -48 + 16x = 48 + 0 -48 + 16x = 48 Add '48' to each side of the equation. -48 + 48 + 16x = 48 + 48 Combine like terms: -48 + 48 = 0 0 + 16x = 48 + 48 16x = 48 + 48 Combine like terms: 48 + 48 = 96 16x = 96 Divide each side by '16'. x = 6 Simplifying x = 6
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