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Simplifying 6(4x + 1) = 6(x + 5) + 6(x + -3) Reorder the terms: 6(1 + 4x) = 6(x + 5) + 6(x + -3) (1 * 6 + 4x * 6) = 6(x + 5) + 6(x + -3) (6 + 24x) = 6(x + 5) + 6(x + -3) Reorder the terms: 6 + 24x = 6(5 + x) + 6(x + -3) 6 + 24x = (5 * 6 + x * 6) + 6(x + -3) 6 + 24x = (30 + 6x) + 6(x + -3) Reorder the terms: 6 + 24x = 30 + 6x + 6(-3 + x) 6 + 24x = 30 + 6x + (-3 * 6 + x * 6) 6 + 24x = 30 + 6x + (-18 + 6x) Reorder the terms: 6 + 24x = 30 + -18 + 6x + 6x Combine like terms: 30 + -18 = 12 6 + 24x = 12 + 6x + 6x Combine like terms: 6x + 6x = 12x 6 + 24x = 12 + 12x Solving 6 + 24x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 24x + -12x = 12 + 12x + -12x Combine like terms: 24x + -12x = 12x 6 + 12x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + 12x = 12 + 0 6 + 12x = 12 Add '-6' to each side of the equation. 6 + -6 + 12x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 12 + -6 12x = 12 + -6 Combine like terms: 12 + -6 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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