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Simplifying -0.167(x + -12) + 1.3(x + 3) = x + -2 Reorder the terms: -0.167(-12 + x) + 1.3(x + 3) = x + -2 (-12 * -0.167 + x * -0.167) + 1.3(x + 3) = x + -2 (2.004 + -0.167x) + 1.3(x + 3) = x + -2 Reorder the terms: 2.004 + -0.167x + 1.3(3 + x) = x + -2 2.004 + -0.167x + (3 * 1.3 + x * 1.3) = x + -2 2.004 + -0.167x + (3.9 + 1.3x) = x + -2 Reorder the terms: 2.004 + 3.9 + -0.167x + 1.3x = x + -2 Combine like terms: 2.004 + 3.9 = 5.904 5.904 + -0.167x + 1.3x = x + -2 Combine like terms: -0.167x + 1.3x = 1.133x 5.904 + 1.133x = x + -2 Reorder the terms: 5.904 + 1.133x = -2 + x Solving 5.904 + 1.133x = -2 + 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. 5.904 + 1.133x + -1x = -2 + x + -1x Combine like terms: 1.133x + -1x = 0.133x 5.904 + 0.133x = -2 + x + -1x Combine like terms: x + -1x = 0 5.904 + 0.133x = -2 + 0 5.904 + 0.133x = -2 Add '-5.904' to each side of the equation. 5.904 + -5.904 + 0.133x = -2 + -5.904 Combine like terms: 5.904 + -5.904 = 0.000 0.000 + 0.133x = -2 + -5.904 0.133x = -2 + -5.904 Combine like terms: -2 + -5.904 = -7.904 0.133x = -7.904 Divide each side by '0.133'. x = -59.42857143 Simplifying x = -59.42857143
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