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Simplifying 0.5(4x + 12) + 6 = 0.25(4x + -20) Reorder the terms: 0.5(12 + 4x) + 6 = 0.25(4x + -20) (12 * 0.5 + 4x * 0.5) + 6 = 0.25(4x + -20) (6 + 2x) + 6 = 0.25(4x + -20) Reorder the terms: 6 + 6 + 2x = 0.25(4x + -20) Combine like terms: 6 + 6 = 12 12 + 2x = 0.25(4x + -20) Reorder the terms: 12 + 2x = 0.25(-20 + 4x) 12 + 2x = (-20 * 0.25 + 4x * 0.25) 12 + 2x = (-5 + 1x) Solving 12 + 2x = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 2x + -1x = -5 + 1x + -1x Combine like terms: 2x + -1x = 1x 12 + 1x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + 1x = -5 + 0 12 + 1x = -5 Add '-12' to each side of the equation. 12 + -12 + 1x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -5 + -12 1x = -5 + -12 Combine like terms: -5 + -12 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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