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Simplifying 2(3x + 14) = -2 + 4x + 5x + 12 Reorder the terms: 2(14 + 3x) = -2 + 4x + 5x + 12 (14 * 2 + 3x * 2) = -2 + 4x + 5x + 12 (28 + 6x) = -2 + 4x + 5x + 12 Reorder the terms: 28 + 6x = -2 + 12 + 4x + 5x Combine like terms: -2 + 12 = 10 28 + 6x = 10 + 4x + 5x Combine like terms: 4x + 5x = 9x 28 + 6x = 10 + 9x Solving 28 + 6x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 28 + 6x + -9x = 10 + 9x + -9x Combine like terms: 6x + -9x = -3x 28 + -3x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + -3x = 10 + 0 28 + -3x = 10 Add '-28' to each side of the equation. 28 + -28 + -3x = 10 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = 10 + -28 -3x = 10 + -28 Combine like terms: 10 + -28 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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