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Simplifying 5(x + -8) + 7(6 + 4x) = -13 Reorder the terms: 5(-8 + x) + 7(6 + 4x) = -13 (-8 * 5 + x * 5) + 7(6 + 4x) = -13 (-40 + 5x) + 7(6 + 4x) = -13 -40 + 5x + (6 * 7 + 4x * 7) = -13 -40 + 5x + (42 + 28x) = -13 Reorder the terms: -40 + 42 + 5x + 28x = -13 Combine like terms: -40 + 42 = 2 2 + 5x + 28x = -13 Combine like terms: 5x + 28x = 33x 2 + 33x = -13 Solving 2 + 33x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 33x = -13 + -2 Combine like terms: 2 + -2 = 0 0 + 33x = -13 + -2 33x = -13 + -2 Combine like terms: -13 + -2 = -15 33x = -15 Divide each side by '33'. x = -0.4545454545 Simplifying x = -0.4545454545
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