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Simplifying 4(x + -2) + -6(x + -5) = 8 Reorder the terms: 4(-2 + x) + -6(x + -5) = 8 (-2 * 4 + x * 4) + -6(x + -5) = 8 (-8 + 4x) + -6(x + -5) = 8 Reorder the terms: -8 + 4x + -6(-5 + x) = 8 -8 + 4x + (-5 * -6 + x * -6) = 8 -8 + 4x + (30 + -6x) = 8 Reorder the terms: -8 + 30 + 4x + -6x = 8 Combine like terms: -8 + 30 = 22 22 + 4x + -6x = 8 Combine like terms: 4x + -6x = -2x 22 + -2x = 8 Solving 22 + -2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -2x = 8 + -22 Combine like terms: 22 + -22 = 0 0 + -2x = 8 + -22 -2x = 8 + -22 Combine like terms: 8 + -22 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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