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Simplifying 1.2x + 2(x + 0.6) = 5x + -9.8 + -4x Reorder the terms: 1.2x + 2(0.6 + x) = 5x + -9.8 + -4x 1.2x + (0.6 * 2 + x * 2) = 5x + -9.8 + -4x 1.2x + (1.2 + 2x) = 5x + -9.8 + -4x Reorder the terms: 1.2 + 1.2x + 2x = 5x + -9.8 + -4x Combine like terms: 1.2x + 2x = 3.2x 1.2 + 3.2x = 5x + -9.8 + -4x Reorder the terms: 1.2 + 3.2x = -9.8 + 5x + -4x Combine like terms: 5x + -4x = 1x 1.2 + 3.2x = -9.8 + 1x Solving 1.2 + 3.2x = -9.8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1.2 + 3.2x + -1x = -9.8 + 1x + -1x Combine like terms: 3.2x + -1x = 2.2x 1.2 + 2.2x = -9.8 + 1x + -1x Combine like terms: 1x + -1x = 0 1.2 + 2.2x = -9.8 + 0 1.2 + 2.2x = -9.8 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 2.2x = -9.8 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 2.2x = -9.8 + -1.2 2.2x = -9.8 + -1.2 Combine like terms: -9.8 + -1.2 = -11 2.2x = -11 Divide each side by '2.2'. x = -5 Simplifying x = -5
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