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Simplifying 0.5 + 3.5(x + -1.2) = 2 + -15x Reorder the terms: 0.5 + 3.5(-1.2 + x) = 2 + -15x 0.5 + (-1.2 * 3.5 + x * 3.5) = 2 + -15x 0.5 + (-4.2 + 3.5x) = 2 + -15x Combine like terms: 0.5 + -4.2 = -3.7 -3.7 + 3.5x = 2 + -15x Solving -3.7 + 3.5x = 2 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -3.7 + 3.5x + 15x = 2 + -15x + 15x Combine like terms: 3.5x + 15x = 18.5x -3.7 + 18.5x = 2 + -15x + 15x Combine like terms: -15x + 15x = 0 -3.7 + 18.5x = 2 + 0 -3.7 + 18.5x = 2 Add '3.7' to each side of the equation. -3.7 + 3.7 + 18.5x = 2 + 3.7 Combine like terms: -3.7 + 3.7 = 0.0 0.0 + 18.5x = 2 + 3.7 18.5x = 2 + 3.7 Combine like terms: 2 + 3.7 = 5.7 18.5x = 5.7 Divide each side by '18.5'. x = 0.3081081081 Simplifying x = 0.3081081081
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