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Simplifying 5(1 + 4x) + -2(6 + -2x) = 5 (1 * 5 + 4x * 5) + -2(6 + -2x) = 5 (5 + 20x) + -2(6 + -2x) = 5 5 + 20x + (6 * -2 + -2x * -2) = 5 5 + 20x + (-12 + 4x) = 5 Reorder the terms: 5 + -12 + 20x + 4x = 5 Combine like terms: 5 + -12 = -7 -7 + 20x + 4x = 5 Combine like terms: 20x + 4x = 24x -7 + 24x = 5 Solving -7 + 24x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 24x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 24x = 5 + 7 24x = 5 + 7 Combine like terms: 5 + 7 = 12 24x = 12 Divide each side by '24'. x = 0.5 Simplifying x = 0.5
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