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Simplifying -3x + -10 = 6 + -5(4 + x) Reorder the terms: -10 + -3x = 6 + -5(4 + x) -10 + -3x = 6 + (4 * -5 + x * -5) -10 + -3x = 6 + (-20 + -5x) Combine like terms: 6 + -20 = -14 -10 + -3x = -14 + -5x Solving -10 + -3x = -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. -10 + -3x + 5x = -14 + -5x + 5x Combine like terms: -3x + 5x = 2x -10 + 2x = -14 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 2x = -14 + 0 -10 + 2x = -14 Add '10' to each side of the equation. -10 + 10 + 2x = -14 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -14 + 10 2x = -14 + 10 Combine like terms: -14 + 10 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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