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