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Simplifying -1.2x + 3.1(2x + -6) = (-2.4 + -4.3x) * 3 Reorder the terms: -1.2x + 3.1(-6 + 2x) = (-2.4 + -4.3x) * 3 -1.2x + (-6 * 3.1 + 2x * 3.1) = (-2.4 + -4.3x) * 3 -1.2x + (-18.6 + 6.2x) = (-2.4 + -4.3x) * 3 Reorder the terms: -18.6 + -1.2x + 6.2x = (-2.4 + -4.3x) * 3 Combine like terms: -1.2x + 6.2x = 5x -18.6 + 5x = (-2.4 + -4.3x) * 3 Reorder the terms for easier multiplication: -18.6 + 5x = 3(-2.4 + -4.3x) -18.6 + 5x = (-2.4 * 3 + -4.3x * 3) -18.6 + 5x = (-7.2 + -12.9x) Solving -18.6 + 5x = -7.2 + -12.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.9x' to each side of the equation. -18.6 + 5x + 12.9x = -7.2 + -12.9x + 12.9x Combine like terms: 5x + 12.9x = 17.9x -18.6 + 17.9x = -7.2 + -12.9x + 12.9x Combine like terms: -12.9x + 12.9x = 0.0 -18.6 + 17.9x = -7.2 + 0.0 -18.6 + 17.9x = -7.2 Add '18.6' to each side of the equation. -18.6 + 18.6 + 17.9x = -7.2 + 18.6 Combine like terms: -18.6 + 18.6 = 0.0 0.0 + 17.9x = -7.2 + 18.6 17.9x = -7.2 + 18.6 Combine like terms: -7.2 + 18.6 = 11.4 17.9x = 11.4 Divide each side by '17.9'. x = 0.6368715084 Simplifying x = 0.6368715084
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