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Simplifying -3(2x + 1) = 4x + 8 + 3x + 6 Reorder the terms: -3(1 + 2x) = 4x + 8 + 3x + 6 (1 * -3 + 2x * -3) = 4x + 8 + 3x + 6 (-3 + -6x) = 4x + 8 + 3x + 6 Reorder the terms: -3 + -6x = 8 + 6 + 4x + 3x Combine like terms: 8 + 6 = 14 -3 + -6x = 14 + 4x + 3x Combine like terms: 4x + 3x = 7x -3 + -6x = 14 + 7x Solving -3 + -6x = 14 + 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. -3 + -6x + -7x = 14 + 7x + -7x Combine like terms: -6x + -7x = -13x -3 + -13x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -13x = 14 + 0 -3 + -13x = 14 Add '3' to each side of the equation. -3 + 3 + -13x = 14 + 3 Combine like terms: -3 + 3 = 0 0 + -13x = 14 + 3 -13x = 14 + 3 Combine like terms: 14 + 3 = 17 -13x = 17 Divide each side by '-13'. x = -1.307692308 Simplifying x = -1.307692308
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