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Simplifying 48(x + -1) = 8(6 + -1x) + 40 Reorder the terms: 48(-1 + x) = 8(6 + -1x) + 40 (-1 * 48 + x * 48) = 8(6 + -1x) + 40 (-48 + 48x) = 8(6 + -1x) + 40 -48 + 48x = (6 * 8 + -1x * 8) + 40 -48 + 48x = (48 + -8x) + 40 Reorder the terms: -48 + 48x = 48 + 40 + -8x Combine like terms: 48 + 40 = 88 -48 + 48x = 88 + -8x Solving -48 + 48x = 88 + -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 + 48x + 8x = 88 + -8x + 8x Combine like terms: 48x + 8x = 56x -48 + 56x = 88 + -8x + 8x Combine like terms: -8x + 8x = 0 -48 + 56x = 88 + 0 -48 + 56x = 88 Add '48' to each side of the equation. -48 + 48 + 56x = 88 + 48 Combine like terms: -48 + 48 = 0 0 + 56x = 88 + 48 56x = 88 + 48 Combine like terms: 88 + 48 = 136 56x = 136 Divide each side by '56'. x = 2.428571429 Simplifying x = 2.428571429
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