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Simplifying x + -4 + 6(x + -5) = 10 + -4x Reorder the terms: x + -4 + 6(-5 + x) = 10 + -4x x + -4 + (-5 * 6 + x * 6) = 10 + -4x x + -4 + (-30 + 6x) = 10 + -4x Reorder the terms: -4 + -30 + x + 6x = 10 + -4x Combine like terms: -4 + -30 = -34 -34 + x + 6x = 10 + -4x Combine like terms: x + 6x = 7x -34 + 7x = 10 + -4x Solving -34 + 7x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -34 + 7x + 4x = 10 + -4x + 4x Combine like terms: 7x + 4x = 11x -34 + 11x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -34 + 11x = 10 + 0 -34 + 11x = 10 Add '34' to each side of the equation. -34 + 34 + 11x = 10 + 34 Combine like terms: -34 + 34 = 0 0 + 11x = 10 + 34 11x = 10 + 34 Combine like terms: 10 + 34 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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