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Simplifying 8 + 5(x + -3) = 11 + -8(x + -7) Reorder the terms: 8 + 5(-3 + x) = 11 + -8(x + -7) 8 + (-3 * 5 + x * 5) = 11 + -8(x + -7) 8 + (-15 + 5x) = 11 + -8(x + -7) Combine like terms: 8 + -15 = -7 -7 + 5x = 11 + -8(x + -7) Reorder the terms: -7 + 5x = 11 + -8(-7 + x) -7 + 5x = 11 + (-7 * -8 + x * -8) -7 + 5x = 11 + (56 + -8x) Combine like terms: 11 + 56 = 67 -7 + 5x = 67 + -8x Solving -7 + 5x = 67 + -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. -7 + 5x + 8x = 67 + -8x + 8x Combine like terms: 5x + 8x = 13x -7 + 13x = 67 + -8x + 8x Combine like terms: -8x + 8x = 0 -7 + 13x = 67 + 0 -7 + 13x = 67 Add '7' to each side of the equation. -7 + 7 + 13x = 67 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 67 + 7 13x = 67 + 7 Combine like terms: 67 + 7 = 74 13x = 74 Divide each side by '13'. x = 5.692307692 Simplifying x = 5.692307692
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