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Simplifying 4(x + -6) + -2(x + 8) = 40 Reorder the terms: 4(-6 + x) + -2(x + 8) = 40 (-6 * 4 + x * 4) + -2(x + 8) = 40 (-24 + 4x) + -2(x + 8) = 40 Reorder the terms: -24 + 4x + -2(8 + x) = 40 -24 + 4x + (8 * -2 + x * -2) = 40 -24 + 4x + (-16 + -2x) = 40 Reorder the terms: -24 + -16 + 4x + -2x = 40 Combine like terms: -24 + -16 = -40 -40 + 4x + -2x = 40 Combine like terms: 4x + -2x = 2x -40 + 2x = 40 Solving -40 + 2x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 2x = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = 40 + 40 2x = 40 + 40 Combine like terms: 40 + 40 = 80 2x = 80 Divide each side by '2'. x = 40 Simplifying x = 40
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