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Simplifying -5.22 + -2.1x = 1.5(-2.8x + 0.3) Reorder the terms: -5.22 + -2.1x = 1.5(0.3 + -2.8x) -5.22 + -2.1x = (0.3 * 1.5 + -2.8x * 1.5) -5.22 + -2.1x = (0.45 + -4.2x) Solving -5.22 + -2.1x = 0.45 + -4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.2x' to each side of the equation. -5.22 + -2.1x + 4.2x = 0.45 + -4.2x + 4.2x Combine like terms: -2.1x + 4.2x = 2.1x -5.22 + 2.1x = 0.45 + -4.2x + 4.2x Combine like terms: -4.2x + 4.2x = 0.0 -5.22 + 2.1x = 0.45 + 0.0 -5.22 + 2.1x = 0.45 Add '5.22' to each side of the equation. -5.22 + 5.22 + 2.1x = 0.45 + 5.22 Combine like terms: -5.22 + 5.22 = 0.00 0.00 + 2.1x = 0.45 + 5.22 2.1x = 0.45 + 5.22 Combine like terms: 0.45 + 5.22 = 5.67 2.1x = 5.67 Divide each side by '2.1'. x = 2.7 Simplifying x = 2.7
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