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Simplifying -6.2(x + 4.5) = -36.22 + -3x Reorder the terms: -6.2(4.5 + x) = -36.22 + -3x (4.5 * -6.2 + x * -6.2) = -36.22 + -3x (-27.9 + -6.2x) = -36.22 + -3x Solving -27.9 + -6.2x = -36.22 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -27.9 + -6.2x + 3x = -36.22 + -3x + 3x Combine like terms: -6.2x + 3x = -3.2x -27.9 + -3.2x = -36.22 + -3x + 3x Combine like terms: -3x + 3x = 0 -27.9 + -3.2x = -36.22 + 0 -27.9 + -3.2x = -36.22 Add '27.9' to each side of the equation. -27.9 + 27.9 + -3.2x = -36.22 + 27.9 Combine like terms: -27.9 + 27.9 = 0.0 0.0 + -3.2x = -36.22 + 27.9 -3.2x = -36.22 + 27.9 Combine like terms: -36.22 + 27.9 = -8.32 -3.2x = -8.32 Divide each side by '-3.2'. x = 2.6 Simplifying x = 2.6
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