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Simplifying 12.0 = -2(x + 5) + 3x Reorder the terms: 12.0 = -2(5 + x) + 3x 12.0 = (5 * -2 + x * -2) + 3x 12.0 = (-10 + -2x) + 3x Combine like terms: -2x + 3x = 1x 12.0 = -10 + 1x Solving 12.0 = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12.0 + -1x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 12.0 + -1x = -10 + 0 12.0 + -1x = -10 Add '-12.0' to each side of the equation. 12.0 + -12.0 + -1x = -10 + -12.0 Combine like terms: 12.0 + -12.0 = 0.0 0.0 + -1x = -10 + -12.0 -1x = -10 + -12.0 Combine like terms: -10 + -12.0 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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