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Simplifying -8x + -5(x + 3) = -6(2x + 5) Reorder the terms: -8x + -5(3 + x) = -6(2x + 5) -8x + (3 * -5 + x * -5) = -6(2x + 5) -8x + (-15 + -5x) = -6(2x + 5) Reorder the terms: -15 + -8x + -5x = -6(2x + 5) Combine like terms: -8x + -5x = -13x -15 + -13x = -6(2x + 5) Reorder the terms: -15 + -13x = -6(5 + 2x) -15 + -13x = (5 * -6 + 2x * -6) -15 + -13x = (-30 + -12x) Solving -15 + -13x = -30 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -15 + -13x + 12x = -30 + -12x + 12x Combine like terms: -13x + 12x = -1x -15 + -1x = -30 + -12x + 12x Combine like terms: -12x + 12x = 0 -15 + -1x = -30 + 0 -15 + -1x = -30 Add '15' to each side of the equation. -15 + 15 + -1x = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -30 + 15 -1x = -30 + 15 Combine like terms: -30 + 15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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