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Simplifying 3.5(x + -2) + -12 = 0.5x Reorder the terms: 3.5(-2 + x) + -12 = 0.5x (-2 * 3.5 + x * 3.5) + -12 = 0.5x (-7 + 3.5x) + -12 = 0.5x Reorder the terms: -7 + -12 + 3.5x = 0.5x Combine like terms: -7 + -12 = -19 -19 + 3.5x = 0.5x Solving -19 + 3.5x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -19 + 3.5x + -0.5x = 0.5x + -0.5x Combine like terms: 3.5x + -0.5x = 3x -19 + 3x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -19 + 3x = 0.0 Add '19' to each side of the equation. -19 + 19 + 3x = 0.0 + 19 Combine like terms: -19 + 19 = 0 0 + 3x = 0.0 + 19 3x = 0.0 + 19 Combine like terms: 0.0 + 19 = 19 3x = 19 Divide each side by '3'. x = 6.333333333 Simplifying x = 6.333333333
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