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Simplifying 8(3x + -5) + -6(-2x + -7) = 15 Reorder the terms: 8(-5 + 3x) + -6(-2x + -7) = 15 (-5 * 8 + 3x * 8) + -6(-2x + -7) = 15 (-40 + 24x) + -6(-2x + -7) = 15 Reorder the terms: -40 + 24x + -6(-7 + -2x) = 15 -40 + 24x + (-7 * -6 + -2x * -6) = 15 -40 + 24x + (42 + 12x) = 15 Reorder the terms: -40 + 42 + 24x + 12x = 15 Combine like terms: -40 + 42 = 2 2 + 24x + 12x = 15 Combine like terms: 24x + 12x = 36x 2 + 36x = 15 Solving 2 + 36x = 15 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 + 36x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 36x = 15 + -2 36x = 15 + -2 Combine like terms: 15 + -2 = 13 36x = 13 Divide each side by '36'. x = 0.3611111111 Simplifying x = 0.3611111111
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