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Simplifying 5.2x + -18.9 + -2.1x = -4.2 + x Reorder the terms: -18.9 + 5.2x + -2.1x = -4.2 + x Combine like terms: 5.2x + -2.1x = 3.1x -18.9 + 3.1x = -4.2 + x Solving -18.9 + 3.1x = -4.2 + x 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. -18.9 + 3.1x + -1x = -4.2 + x + -1x Combine like terms: 3.1x + -1x = 2.1x -18.9 + 2.1x = -4.2 + x + -1x Combine like terms: x + -1x = 0 -18.9 + 2.1x = -4.2 + 0 -18.9 + 2.1x = -4.2 Add '18.9' to each side of the equation. -18.9 + 18.9 + 2.1x = -4.2 + 18.9 Combine like terms: -18.9 + 18.9 = 0.0 0.0 + 2.1x = -4.2 + 18.9 2.1x = -4.2 + 18.9 Combine like terms: -4.2 + 18.9 = 14.7 2.1x = 14.7 Divide each side by '2.1'. x = 7 Simplifying x = 7
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