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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 = -25x -24 + -25x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -25x = 30 + 0 -24 + -25x = 30 Add '24' to each side of the equation. -24 + 24 + -25x = 30 + 24 Combine like terms: -24 + 24 = 0 0 + -25x = 30 + 24 -25x = 30 + 24 Combine like terms: 30 + 24 = 54 -25x = 54 Divide each side by '-25'. x = -2.16 Simplifying x = -2.16
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