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Simplifying 2(3x + 4) + -3x = 6x + -32 + 2x + 21 Reorder the terms: 2(4 + 3x) + -3x = 6x + -32 + 2x + 21 (4 * 2 + 3x * 2) + -3x = 6x + -32 + 2x + 21 (8 + 6x) + -3x = 6x + -32 + 2x + 21 Combine like terms: 6x + -3x = 3x 8 + 3x = 6x + -32 + 2x + 21 Reorder the terms: 8 + 3x = -32 + 21 + 6x + 2x Combine like terms: -32 + 21 = -11 8 + 3x = -11 + 6x + 2x Combine like terms: 6x + 2x = 8x 8 + 3x = -11 + 8x Solving 8 + 3x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 3x + -8x = -11 + 8x + -8x Combine like terms: 3x + -8x = -5x 8 + -5x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -5x = -11 + 0 8 + -5x = -11 Add '-8' to each side of the equation. 8 + -8 + -5x = -11 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -11 + -8 -5x = -11 + -8 Combine like terms: -11 + -8 = -19 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8
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