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Simplifying -2x + -6 = 0.5(4x + 12) Reorder the terms: -6 + -2x = 0.5(4x + 12) Reorder the terms: -6 + -2x = 0.5(12 + 4x) -6 + -2x = (12 * 0.5 + 4x * 0.5) -6 + -2x = (6 + 2x) Solving -6 + -2x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -2x + -2x = 6 + 2x + -2x Combine like terms: -2x + -2x = -4x -6 + -4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -4x = 6 + 0 -6 + -4x = 6 Add '6' to each side of the equation. -6 + 6 + -4x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 6 + 6 -4x = 6 + 6 Combine like terms: 6 + 6 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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