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Simplifying 8.2x + -3 + 1.8 = 2(1 + 5x) Reorder the terms: -3 + 1.8 + 8.2x = 2(1 + 5x) Combine like terms: -3 + 1.8 = -1.2 -1.2 + 8.2x = 2(1 + 5x) -1.2 + 8.2x = (1 * 2 + 5x * 2) -1.2 + 8.2x = (2 + 10x) Solving -1.2 + 8.2x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -1.2 + 8.2x + -10x = 2 + 10x + -10x Combine like terms: 8.2x + -10x = -1.8x -1.2 + -1.8x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -1.2 + -1.8x = 2 + 0 -1.2 + -1.8x = 2 Add '1.2' to each side of the equation. -1.2 + 1.2 + -1.8x = 2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -1.8x = 2 + 1.2 -1.8x = 2 + 1.2 Combine like terms: 2 + 1.2 = 3.2 -1.8x = 3.2 Divide each side by '-1.8'. x = -1.777777778 Simplifying x = -1.777777778
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