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Simplifying 3(x + -5) + 14 = -2x + 9 Reorder the terms: 3(-5 + x) + 14 = -2x + 9 (-5 * 3 + x * 3) + 14 = -2x + 9 (-15 + 3x) + 14 = -2x + 9 Reorder the terms: -15 + 14 + 3x = -2x + 9 Combine like terms: -15 + 14 = -1 -1 + 3x = -2x + 9 Reorder the terms: -1 + 3x = 9 + -2x Solving -1 + 3x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1 + 3x + 2x = 9 + -2x + 2x Combine like terms: 3x + 2x = 5x -1 + 5x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 5x = 9 + 0 -1 + 5x = 9 Add '1' to each side of the equation. -1 + 1 + 5x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 9 + 1 5x = 9 + 1 Combine like terms: 9 + 1 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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