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Simplifying 5(4x + 1) + -12 = x + -1(x + 6) Reorder the terms: 5(1 + 4x) + -12 = x + -1(x + 6) (1 * 5 + 4x * 5) + -12 = x + -1(x + 6) (5 + 20x) + -12 = x + -1(x + 6) Reorder the terms: 5 + -12 + 20x = x + -1(x + 6) Combine like terms: 5 + -12 = -7 -7 + 20x = x + -1(x + 6) Reorder the terms: -7 + 20x = x + -1(6 + x) -7 + 20x = x + (6 * -1 + x * -1) -7 + 20x = x + (-6 + -1x) Reorder the terms: -7 + 20x = -6 + x + -1x Combine like terms: x + -1x = 0 -7 + 20x = -6 + 0 -7 + 20x = -6 Solving -7 + 20x = -6 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 + 20x = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 20x = -6 + 7 20x = -6 + 7 Combine like terms: -6 + 7 = 1 20x = 1 Divide each side by '20'. x = 0.05 Simplifying x = 0.05
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