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Simplifying 0.5(x + 12) = 4x + -1 Reorder the terms: 0.5(12 + x) = 4x + -1 (12 * 0.5 + x * 0.5) = 4x + -1 (6 + 0.5x) = 4x + -1 Reorder the terms: 6 + 0.5x = -1 + 4x Solving 6 + 0.5x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 0.5x + -4x = -1 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 6 + -3.5x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -3.5x = -1 + 0 6 + -3.5x = -1 Add '-6' to each side of the equation. 6 + -6 + -3.5x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -3.5x = -1 + -6 -3.5x = -1 + -6 Combine like terms: -1 + -6 = -7 -3.5x = -7 Divide each side by '-3.5'. x = 2 Simplifying x = 2
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