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Simplifying 5(x + -4) + 2(x + -6) = 3 Reorder the terms: 5(-4 + x) + 2(x + -6) = 3 (-4 * 5 + x * 5) + 2(x + -6) = 3 (-20 + 5x) + 2(x + -6) = 3 Reorder the terms: -20 + 5x + 2(-6 + x) = 3 -20 + 5x + (-6 * 2 + x * 2) = 3 -20 + 5x + (-12 + 2x) = 3 Reorder the terms: -20 + -12 + 5x + 2x = 3 Combine like terms: -20 + -12 = -32 -32 + 5x + 2x = 3 Combine like terms: 5x + 2x = 7x -32 + 7x = 3 Solving -32 + 7x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 7x = 3 + 32 Combine like terms: -32 + 32 = 0 0 + 7x = 3 + 32 7x = 3 + 32 Combine like terms: 3 + 32 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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