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Simplifying 0.5(2x + 7) = 0.2x + -2.1 Reorder the terms: 0.5(7 + 2x) = 0.2x + -2.1 (7 * 0.5 + 2x * 0.5) = 0.2x + -2.1 (3.5 + 1x) = 0.2x + -2.1 Reorder the terms: 3.5 + 1x = -2.1 + 0.2x Solving 3.5 + 1x = -2.1 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 3.5 + 1x + -0.2x = -2.1 + 0.2x + -0.2x Combine like terms: 1x + -0.2x = 0.8x 3.5 + 0.8x = -2.1 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 3.5 + 0.8x = -2.1 + 0.0 3.5 + 0.8x = -2.1 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.8x = -2.1 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.8x = -2.1 + -3.5 0.8x = -2.1 + -3.5 Combine like terms: -2.1 + -3.5 = -5.6 0.8x = -5.6 Divide each side by '0.8'. x = -7 Simplifying x = -7
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