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Simplifying x + -6 = 2(x + -5) + -6(x + -4) Reorder the terms: -6 + x = 2(x + -5) + -6(x + -4) Reorder the terms: -6 + x = 2(-5 + x) + -6(x + -4) -6 + x = (-5 * 2 + x * 2) + -6(x + -4) -6 + x = (-10 + 2x) + -6(x + -4) Reorder the terms: -6 + x = -10 + 2x + -6(-4 + x) -6 + x = -10 + 2x + (-4 * -6 + x * -6) -6 + x = -10 + 2x + (24 + -6x) Reorder the terms: -6 + x = -10 + 24 + 2x + -6x Combine like terms: -10 + 24 = 14 -6 + x = 14 + 2x + -6x Combine like terms: 2x + -6x = -4x -6 + x = 14 + -4x Solving -6 + x = 14 + -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. -6 + x + 4x = 14 + -4x + 4x Combine like terms: x + 4x = 5x -6 + 5x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 5x = 14 + 0 -6 + 5x = 14 Add '6' to each side of the equation. -6 + 6 + 5x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 14 + 6 5x = 14 + 6 Combine like terms: 14 + 6 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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