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Simplifying 6x + 3(2 + -1x) + 15 = 2x + -3(5 + -2x) + -14 6x + (2 * 3 + -1x * 3) + 15 = 2x + -3(5 + -2x) + -14 6x + (6 + -3x) + 15 = 2x + -3(5 + -2x) + -14 Reorder the terms: 6 + 15 + 6x + -3x = 2x + -3(5 + -2x) + -14 Combine like terms: 6 + 15 = 21 21 + 6x + -3x = 2x + -3(5 + -2x) + -14 Combine like terms: 6x + -3x = 3x 21 + 3x = 2x + -3(5 + -2x) + -14 21 + 3x = 2x + (5 * -3 + -2x * -3) + -14 21 + 3x = 2x + (-15 + 6x) + -14 Reorder the terms: 21 + 3x = -15 + -14 + 2x + 6x Combine like terms: -15 + -14 = -29 21 + 3x = -29 + 2x + 6x Combine like terms: 2x + 6x = 8x 21 + 3x = -29 + 8x Solving 21 + 3x = -29 + 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. 21 + 3x + -8x = -29 + 8x + -8x Combine like terms: 3x + -8x = -5x 21 + -5x = -29 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -5x = -29 + 0 21 + -5x = -29 Add '-21' to each side of the equation. 21 + -21 + -5x = -29 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = -29 + -21 -5x = -29 + -21 Combine like terms: -29 + -21 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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