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Simplifying 3x + 8[2x + -6] = 2 + 14x Reorder the terms: 3x + 8[-6 + 2x] = 2 + 14x 3x + [-6 * 8 + 2x * 8] = 2 + 14x 3x + [-48 + 16x] = 2 + 14x Reorder the terms: -48 + 3x + 16x = 2 + 14x Combine like terms: 3x + 16x = 19x -48 + 19x = 2 + 14x Solving -48 + 19x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -48 + 19x + -14x = 2 + 14x + -14x Combine like terms: 19x + -14x = 5x -48 + 5x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 -48 + 5x = 2 + 0 -48 + 5x = 2 Add '48' to each side of the equation. -48 + 48 + 5x = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 5x = 2 + 48 5x = 2 + 48 Combine like terms: 2 + 48 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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