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Simplifying 5x + 8(x + -3) = 5(x + -7) Reorder the terms: 5x + 8(-3 + x) = 5(x + -7) 5x + (-3 * 8 + x * 8) = 5(x + -7) 5x + (-24 + 8x) = 5(x + -7) Reorder the terms: -24 + 5x + 8x = 5(x + -7) Combine like terms: 5x + 8x = 13x -24 + 13x = 5(x + -7) Reorder the terms: -24 + 13x = 5(-7 + x) -24 + 13x = (-7 * 5 + x * 5) -24 + 13x = (-35 + 5x) Solving -24 + 13x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 13x + -5x = -35 + 5x + -5x Combine like terms: 13x + -5x = 8x -24 + 8x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 8x = -35 + 0 -24 + 8x = -35 Add '24' to each side of the equation. -24 + 24 + 8x = -35 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = -35 + 24 8x = -35 + 24 Combine like terms: -35 + 24 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375
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