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Simplifying 8(3 + -1x) = 7(x + -5) (3 * 8 + -1x * 8) = 7(x + -5) (24 + -8x) = 7(x + -5) Reorder the terms: 24 + -8x = 7(-5 + x) 24 + -8x = (-5 * 7 + x * 7) 24 + -8x = (-35 + 7x) Solving 24 + -8x = -35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24 + -8x + -7x = -35 + 7x + -7x Combine like terms: -8x + -7x = -15x 24 + -15x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -15x = -35 + 0 24 + -15x = -35 Add '-24' to each side of the equation. 24 + -24 + -15x = -35 + -24 Combine like terms: 24 + -24 = 0 0 + -15x = -35 + -24 -15x = -35 + -24 Combine like terms: -35 + -24 = -59 -15x = -59 Divide each side by '-15'. x = 3.933333333 Simplifying x = 3.933333333
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