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Simplifying -0.17(x + -18) + 0.5(x + 2) = x + -20 Reorder the terms: -0.17(-18 + x) + 0.5(x + 2) = x + -20 (-18 * -0.17 + x * -0.17) + 0.5(x + 2) = x + -20 (3.06 + -0.17x) + 0.5(x + 2) = x + -20 Reorder the terms: 3.06 + -0.17x + 0.5(2 + x) = x + -20 3.06 + -0.17x + (2 * 0.5 + x * 0.5) = x + -20 3.06 + -0.17x + (1 + 0.5x) = x + -20 Reorder the terms: 3.06 + 1 + -0.17x + 0.5x = x + -20 Combine like terms: 3.06 + 1 = 4.06 4.06 + -0.17x + 0.5x = x + -20 Combine like terms: -0.17x + 0.5x = 0.33x 4.06 + 0.33x = x + -20 Reorder the terms: 4.06 + 0.33x = -20 + x Solving 4.06 + 0.33x = -20 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4.06 + 0.33x + -1x = -20 + x + -1x Combine like terms: 0.33x + -1x = -0.67x 4.06 + -0.67x = -20 + x + -1x Combine like terms: x + -1x = 0 4.06 + -0.67x = -20 + 0 4.06 + -0.67x = -20 Add '-4.06' to each side of the equation. 4.06 + -4.06 + -0.67x = -20 + -4.06 Combine like terms: 4.06 + -4.06 = 0.00 0.00 + -0.67x = -20 + -4.06 -0.67x = -20 + -4.06 Combine like terms: -20 + -4.06 = -24.06 -0.67x = -24.06 Divide each side by '-0.67'. x = 35.91044776 Simplifying x = 35.91044776
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