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Simplifying -0.17(x + -12) + 0.5(x + 2) = x + 3 Reorder the terms: -0.17(-12 + x) + 0.5(x + 2) = x + 3 (-12 * -0.17 + x * -0.17) + 0.5(x + 2) = x + 3 (2.04 + -0.17x) + 0.5(x + 2) = x + 3 Reorder the terms: 2.04 + -0.17x + 0.5(2 + x) = x + 3 2.04 + -0.17x + (2 * 0.5 + x * 0.5) = x + 3 2.04 + -0.17x + (1 + 0.5x) = x + 3 Reorder the terms: 2.04 + 1 + -0.17x + 0.5x = x + 3 Combine like terms: 2.04 + 1 = 3.04 3.04 + -0.17x + 0.5x = x + 3 Combine like terms: -0.17x + 0.5x = 0.33x 3.04 + 0.33x = x + 3 Reorder the terms: 3.04 + 0.33x = 3 + x Solving 3.04 + 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. 3.04 + 0.33x + -1x = 3 + x + -1x Combine like terms: 0.33x + -1x = -0.67x 3.04 + -0.67x = 3 + x + -1x Combine like terms: x + -1x = 0 3.04 + -0.67x = 3 + 0 3.04 + -0.67x = 3 Add '-3.04' to each side of the equation. 3.04 + -3.04 + -0.67x = 3 + -3.04 Combine like terms: 3.04 + -3.04 = 0.00 0.00 + -0.67x = 3 + -3.04 -0.67x = 3 + -3.04 Combine like terms: 3 + -3.04 = -0.04 -0.67x = -0.04 Divide each side by '-0.67'. x = 0.05970149254 Simplifying x = 0.05970149254
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