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Simplifying 5(2x + 1) = 4x + -6x Reorder the terms: 5(1 + 2x) = 4x + -6x (1 * 5 + 2x * 5) = 4x + -6x (5 + 10x) = 4x + -6x Combine like terms: 4x + -6x = -2x 5 + 10x = -2x Solving 5 + 10x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 10x + 2x = -2x + 2x Combine like terms: 10x + 2x = 12x 5 + 12x = -2x + 2x Combine like terms: -2x + 2x = 0 5 + 12x = 0 Add '-5' to each side of the equation. 5 + -5 + 12x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 0 + -5 12x = 0 + -5 Combine like terms: 0 + -5 = -5 12x = -5 Divide each side by '12'. x = -0.4166666667 Simplifying x = -0.4166666667
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