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Simplifying 3 + -5(x + 3) = 3(x + 2) + 14 Reorder the terms: 3 + -5(3 + x) = 3(x + 2) + 14 3 + (3 * -5 + x * -5) = 3(x + 2) + 14 3 + (-15 + -5x) = 3(x + 2) + 14 Combine like terms: 3 + -15 = -12 -12 + -5x = 3(x + 2) + 14 Reorder the terms: -12 + -5x = 3(2 + x) + 14 -12 + -5x = (2 * 3 + x * 3) + 14 -12 + -5x = (6 + 3x) + 14 Reorder the terms: -12 + -5x = 6 + 14 + 3x Combine like terms: 6 + 14 = 20 -12 + -5x = 20 + 3x Solving -12 + -5x = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + -5x + -3x = 20 + 3x + -3x Combine like terms: -5x + -3x = -8x -12 + -8x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -8x = 20 + 0 -12 + -8x = 20 Add '12' to each side of the equation. -12 + 12 + -8x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 20 + 12 -8x = 20 + 12 Combine like terms: 20 + 12 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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