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Simplifying 0.5 + 3.5(x + -1.2) = 2 + -1.5x Reorder the terms: 0.5 + 3.5(-1.2 + x) = 2 + -1.5x 0.5 + (-1.2 * 3.5 + x * 3.5) = 2 + -1.5x 0.5 + (-4.2 + 3.5x) = 2 + -1.5x Combine like terms: 0.5 + -4.2 = -3.7 -3.7 + 3.5x = 2 + -1.5x Solving -3.7 + 3.5x = 2 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. -3.7 + 3.5x + 1.5x = 2 + -1.5x + 1.5x Combine like terms: 3.5x + 1.5x = 5x -3.7 + 5x = 2 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -3.7 + 5x = 2 + 0.0 -3.7 + 5x = 2 Add '3.7' to each side of the equation. -3.7 + 3.7 + 5x = 2 + 3.7 Combine like terms: -3.7 + 3.7 = 0.0 0.0 + 5x = 2 + 3.7 5x = 2 + 3.7 Combine like terms: 2 + 3.7 = 5.7 5x = 5.7 Divide each side by '5'. x = 1.14 Simplifying x = 1.14
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