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Simplifying -3x + -10 = 6 + -5(x + -4) Reorder the terms: -10 + -3x = 6 + -5(x + -4) 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 = 26 -10 + -3x = 26 + -5x Solving -10 + -3x = 26 + -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 = 26 + -5x + 5x Combine like terms: -3x + 5x = 2x -10 + 2x = 26 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 2x = 26 + 0 -10 + 2x = 26 Add '10' to each side of the equation. -10 + 10 + 2x = 26 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 26 + 10 2x = 26 + 10 Combine like terms: 26 + 10 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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