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Simplifying 0.5(x + -12) = 1 + 4x Reorder the terms: 0.5(-12 + x) = 1 + 4x (-12 * 0.5 + x * 0.5) = 1 + 4x (-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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