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Simplifying 3(x + -5) + 5 = 14 + -2(x + -3) Reorder the terms: 3(-5 + x) + 5 = 14 + -2(x + -3) (-5 * 3 + x * 3) + 5 = 14 + -2(x + -3) (-15 + 3x) + 5 = 14 + -2(x + -3) Reorder the terms: -15 + 5 + 3x = 14 + -2(x + -3) Combine like terms: -15 + 5 = -10 -10 + 3x = 14 + -2(x + -3) Reorder the terms: -10 + 3x = 14 + -2(-3 + x) -10 + 3x = 14 + (-3 * -2 + x * -2) -10 + 3x = 14 + (6 + -2x) Combine like terms: 14 + 6 = 20 -10 + 3x = 20 + -2x Solving -10 + 3x = 20 + -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. -10 + 3x + 2x = 20 + -2x + 2x Combine like terms: 3x + 2x = 5x -10 + 5x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 5x = 20 + 0 -10 + 5x = 20 Add '10' to each side of the equation. -10 + 10 + 5x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 20 + 10 5x = 20 + 10 Combine like terms: 20 + 10 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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