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Simplifying 0.033(x + 4) + -5 + -2 = 0.25x + 5 + -6 Reorder the terms: 0.033(4 + x) + -5 + -2 = 0.25x + 5 + -6 (4 * 0.033 + x * 0.033) + -5 + -2 = 0.25x + 5 + -6 (0.132 + 0.033x) + -5 + -2 = 0.25x + 5 + -6 Reorder the terms: 0.132 + -5 + -2 + 0.033x = 0.25x + 5 + -6 Combine like terms: 0.132 + -5 = -4.868 -4.868 + -2 + 0.033x = 0.25x + 5 + -6 Combine like terms: -4.868 + -2 = -6.868 -6.868 + 0.033x = 0.25x + 5 + -6 Reorder the terms: -6.868 + 0.033x = 5 + -6 + 0.25x Combine like terms: 5 + -6 = -1 -6.868 + 0.033x = -1 + 0.25x Solving -6.868 + 0.033x = -1 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -6.868 + 0.033x + -0.25x = -1 + 0.25x + -0.25x Combine like terms: 0.033x + -0.25x = -0.217x -6.868 + -0.217x = -1 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -6.868 + -0.217x = -1 + 0.00 -6.868 + -0.217x = -1 Add '6.868' to each side of the equation. -6.868 + 6.868 + -0.217x = -1 + 6.868 Combine like terms: -6.868 + 6.868 = 0.000 0.000 + -0.217x = -1 + 6.868 -0.217x = -1 + 6.868 Combine like terms: -1 + 6.868 = 5.868 -0.217x = 5.868 Divide each side by '-0.217'. x = -27.04147465 Simplifying x = -27.04147465
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