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Simplifying 0.2(x + 2) + 2x = 6x + -10 Reorder the terms: 0.2(2 + x) + 2x = 6x + -10 (2 * 0.2 + x * 0.2) + 2x = 6x + -10 (0.4 + 0.2x) + 2x = 6x + -10 Combine like terms: 0.2x + 2x = 2.2x 0.4 + 2.2x = 6x + -10 Reorder the terms: 0.4 + 2.2x = -10 + 6x Solving 0.4 + 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. 0.4 + 2.2x + -6x = -10 + 6x + -6x Combine like terms: 2.2x + -6x = -3.8x 0.4 + -3.8x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 0.4 + -3.8x = -10 + 0 0.4 + -3.8x = -10 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -3.8x = -10 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -3.8x = -10 + -0.4 -3.8x = -10 + -0.4 Combine like terms: -10 + -0.4 = -10.4 -3.8x = -10.4 Divide each side by '-3.8'. x = 2.736842105 Simplifying x = 2.736842105
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