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Simplifying 2(x + -5) + 3 = 5x + 14 Reorder the terms: 2(-5 + x) + 3 = 5x + 14 (-5 * 2 + x * 2) + 3 = 5x + 14 (-10 + 2x) + 3 = 5x + 14 Reorder the terms: -10 + 3 + 2x = 5x + 14 Combine like terms: -10 + 3 = -7 -7 + 2x = 5x + 14 Reorder the terms: -7 + 2x = 14 + 5x Solving -7 + 2x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 2x + -5x = 14 + 5x + -5x Combine like terms: 2x + -5x = -3x -7 + -3x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -3x = 14 + 0 -7 + -3x = 14 Add '7' to each side of the equation. -7 + 7 + -3x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 14 + 7 -3x = 14 + 7 Combine like terms: 14 + 7 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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