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Simplifying -0.17(x + 2) + 0.5(x + 2) = x + 3 Reorder the terms: -0.17(2 + x) + 0.5(x + 2) = x + 3 (2 * -0.17 + x * -0.17) + 0.5(x + 2) = x + 3 (-0.34 + -0.17x) + 0.5(x + 2) = x + 3 Reorder the terms: -0.34 + -0.17x + 0.5(2 + x) = x + 3 -0.34 + -0.17x + (2 * 0.5 + x * 0.5) = x + 3 -0.34 + -0.17x + (1 + 0.5x) = x + 3 Reorder the terms: -0.34 + 1 + -0.17x + 0.5x = x + 3 Combine like terms: -0.34 + 1 = 0.66 0.66 + -0.17x + 0.5x = x + 3 Combine like terms: -0.17x + 0.5x = 0.33x 0.66 + 0.33x = x + 3 Reorder the terms: 0.66 + 0.33x = 3 + x Solving 0.66 + 0.33x = 3 + 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. 0.66 + 0.33x + -1x = 3 + x + -1x Combine like terms: 0.33x + -1x = -0.67x 0.66 + -0.67x = 3 + x + -1x Combine like terms: x + -1x = 0 0.66 + -0.67x = 3 + 0 0.66 + -0.67x = 3 Add '-0.66' to each side of the equation. 0.66 + -0.66 + -0.67x = 3 + -0.66 Combine like terms: 0.66 + -0.66 = 0.00 0.00 + -0.67x = 3 + -0.66 -0.67x = 3 + -0.66 Combine like terms: 3 + -0.66 = 2.34 -0.67x = 2.34 Divide each side by '-0.67'. x = -3.492537313 Simplifying x = -3.492537313
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