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Simplifying 9x + -6 = 4(2x + 5) + -14 Reorder the terms: -6 + 9x = 4(2x + 5) + -14 Reorder the terms: -6 + 9x = 4(5 + 2x) + -14 -6 + 9x = (5 * 4 + 2x * 4) + -14 -6 + 9x = (20 + 8x) + -14 Reorder the terms: -6 + 9x = 20 + -14 + 8x Combine like terms: 20 + -14 = 6 -6 + 9x = 6 + 8x Solving -6 + 9x = 6 + 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. -6 + 9x + -8x = 6 + 8x + -8x Combine like terms: 9x + -8x = 1x -6 + 1x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 1x = 6 + 0 -6 + 1x = 6 Add '6' to each side of the equation. -6 + 6 + 1x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 6 + 6 1x = 6 + 6 Combine like terms: 6 + 6 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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