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Simplifying 3x + -8(2x + 3) = -6(2x + 5) Reorder the terms: 3x + -8(3 + 2x) = -6(2x + 5) 3x + (3 * -8 + 2x * -8) = -6(2x + 5) 3x + (-24 + -16x) = -6(2x + 5) Reorder the terms: -24 + 3x + -16x = -6(2x + 5) Combine like terms: 3x + -16x = -13x -24 + -13x = -6(2x + 5) Reorder the terms: -24 + -13x = -6(5 + 2x) -24 + -13x = (5 * -6 + 2x * -6) -24 + -13x = (-30 + -12x) Solving -24 + -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. -24 + -13x + 12x = -30 + -12x + 12x Combine like terms: -13x + 12x = -1x -24 + -1x = -30 + -12x + 12x Combine like terms: -12x + 12x = 0 -24 + -1x = -30 + 0 -24 + -1x = -30 Add '24' to each side of the equation. -24 + 24 + -1x = -30 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -30 + 24 -1x = -30 + 24 Combine like terms: -30 + 24 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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