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Simplifying 14x + -12 = 3(-3x + 5) + 9x + -10 Reorder the terms: -12 + 14x = 3(-3x + 5) + 9x + -10 Reorder the terms: -12 + 14x = 3(5 + -3x) + 9x + -10 -12 + 14x = (5 * 3 + -3x * 3) + 9x + -10 -12 + 14x = (15 + -9x) + 9x + -10 Reorder the terms: -12 + 14x = 15 + -10 + -9x + 9x Combine like terms: 15 + -10 = 5 -12 + 14x = 5 + -9x + 9x Combine like terms: -9x + 9x = 0 -12 + 14x = 5 + 0 -12 + 14x = 5 Solving -12 + 14x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 14x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 5 + 12 14x = 5 + 12 Combine like terms: 5 + 12 = 17 14x = 17 Divide each side by '14'. x = 1.214285714 Simplifying x = 1.214285714
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