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Simplifying 7(13x + 5) = -8(x + -5) Reorder the terms: 7(5 + 13x) = -8(x + -5) (5 * 7 + 13x * 7) = -8(x + -5) (35 + 91x) = -8(x + -5) Reorder the terms: 35 + 91x = -8(-5 + x) 35 + 91x = (-5 * -8 + x * -8) 35 + 91x = (40 + -8x) Solving 35 + 91x = 40 + -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. 35 + 91x + 8x = 40 + -8x + 8x Combine like terms: 91x + 8x = 99x 35 + 99x = 40 + -8x + 8x Combine like terms: -8x + 8x = 0 35 + 99x = 40 + 0 35 + 99x = 40 Add '-35' to each side of the equation. 35 + -35 + 99x = 40 + -35 Combine like terms: 35 + -35 = 0 0 + 99x = 40 + -35 99x = 40 + -35 Combine like terms: 40 + -35 = 5 99x = 5 Divide each side by '99'. x = 0.05050505051 Simplifying x = 0.05050505051
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