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Simplifying 0.20(x + 1) + 2x = 6x + -10 Reorder the terms: 0.20(1 + x) + 2x = 6x + -10 (1 * 0.20 + x * 0.20) + 2x = 6x + -10 (0.2 + 0.20x) + 2x = 6x + -10 Combine like terms: 0.20x + 2x = 2.2x 0.2 + 2.2x = 6x + -10 Reorder the terms: 0.2 + 2.2x = -10 + 6x Solving 0.2 + 2.2x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0.2 + 2.2x + -6x = -10 + 6x + -6x Combine like terms: 2.2x + -6x = -3.8x 0.2 + -3.8x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 0.2 + -3.8x = -10 + 0 0.2 + -3.8x = -10 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -3.8x = -10 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -3.8x = -10 + -0.2 -3.8x = -10 + -0.2 Combine like terms: -10 + -0.2 = -10.2 -3.8x = -10.2 Divide each side by '-3.8'. x = 2.684210526 Simplifying x = 2.684210526
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