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Simplifying 3x + -4(2 + -3x) = x + 6(x + 3) 3x + (2 * -4 + -3x * -4) = x + 6(x + 3) 3x + (-8 + 12x) = x + 6(x + 3) Reorder the terms: -8 + 3x + 12x = x + 6(x + 3) Combine like terms: 3x + 12x = 15x -8 + 15x = x + 6(x + 3) Reorder the terms: -8 + 15x = x + 6(3 + x) -8 + 15x = x + (3 * 6 + x * 6) -8 + 15x = x + (18 + 6x) Reorder the terms: -8 + 15x = 18 + x + 6x Combine like terms: x + 6x = 7x -8 + 15x = 18 + 7x Solving -8 + 15x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 15x + -7x = 18 + 7x + -7x Combine like terms: 15x + -7x = 8x -8 + 8x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 8x = 18 + 0 -8 + 8x = 18 Add '8' to each side of the equation. -8 + 8 + 8x = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 18 + 8 8x = 18 + 8 Combine like terms: 18 + 8 = 26 8x = 26 Divide each side by '8'. x = 3.25 Simplifying x = 3.25
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