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Simplifying 0.5(42x + 4) = 4(12x + 14) Reorder the terms: 0.5(4 + 42x) = 4(12x + 14) (4 * 0.5 + 42x * 0.5) = 4(12x + 14) (2 + 21x) = 4(12x + 14) Reorder the terms: 2 + 21x = 4(14 + 12x) 2 + 21x = (14 * 4 + 12x * 4) 2 + 21x = (56 + 48x) Solving 2 + 21x = 56 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 2 + 21x + -48x = 56 + 48x + -48x Combine like terms: 21x + -48x = -27x 2 + -27x = 56 + 48x + -48x Combine like terms: 48x + -48x = 0 2 + -27x = 56 + 0 2 + -27x = 56 Add '-2' to each side of the equation. 2 + -2 + -27x = 56 + -2 Combine like terms: 2 + -2 = 0 0 + -27x = 56 + -2 -27x = 56 + -2 Combine like terms: 56 + -2 = 54 -27x = 54 Divide each side by '-27'. x = -2 Simplifying x = -2
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