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Simplifying (2x + 0.333) + (5x + 0.666) = 12x + -4 Reorder the terms: (0.333 + 2x) + (5x + 0.666) = 12x + -4 Remove parenthesis around (0.333 + 2x) 0.333 + 2x + (5x + 0.666) = 12x + -4 Reorder the terms: 0.333 + 2x + (0.666 + 5x) = 12x + -4 Remove parenthesis around (0.666 + 5x) 0.333 + 2x + 0.666 + 5x = 12x + -4 Reorder the terms: 0.333 + 0.666 + 2x + 5x = 12x + -4 Combine like terms: 0.333 + 0.666 = 0.999 0.999 + 2x + 5x = 12x + -4 Combine like terms: 2x + 5x = 7x 0.999 + 7x = 12x + -4 Reorder the terms: 0.999 + 7x = -4 + 12x Solving 0.999 + 7x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 0.999 + 7x + -12x = -4 + 12x + -12x Combine like terms: 7x + -12x = -5x 0.999 + -5x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 0.999 + -5x = -4 + 0 0.999 + -5x = -4 Add '-0.999' to each side of the equation. 0.999 + -0.999 + -5x = -4 + -0.999 Combine like terms: 0.999 + -0.999 = 0.000 0.000 + -5x = -4 + -0.999 -5x = -4 + -0.999 Combine like terms: -4 + -0.999 = -4.999 -5x = -4.999 Divide each side by '-5'. x = 0.9998 Simplifying x = 0.9998
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