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Simplifying x + -3(x + 5) = 3x + 10 Reorder the terms: x + -3(5 + x) = 3x + 10 x + (5 * -3 + x * -3) = 3x + 10 x + (-15 + -3x) = 3x + 10 Reorder the terms: -15 + x + -3x = 3x + 10 Combine like terms: x + -3x = -2x -15 + -2x = 3x + 10 Reorder the terms: -15 + -2x = 10 + 3x Solving -15 + -2x = 10 + 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. -15 + -2x + -3x = 10 + 3x + -3x Combine like terms: -2x + -3x = -5x -15 + -5x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + -5x = 10 + 0 -15 + -5x = 10 Add '15' to each side of the equation. -15 + 15 + -5x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = 10 + 15 -5x = 10 + 15 Combine like terms: 10 + 15 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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