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Simplifying 0.05(4x + 4) + 4 = x + -0.33 Reorder the terms: 0.05(4 + 4x) + 4 = x + -0.33 (4 * 0.05 + 4x * 0.05) + 4 = x + -0.33 (0.2 + 0.2x) + 4 = x + -0.33 Reorder the terms: 0.2 + 4 + 0.2x = x + -0.33 Combine like terms: 0.2 + 4 = 4.2 4.2 + 0.2x = x + -0.33 Reorder the terms: 4.2 + 0.2x = -0.33 + x Solving 4.2 + 0.2x = -0.33 + 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. 4.2 + 0.2x + -1x = -0.33 + x + -1x Combine like terms: 0.2x + -1x = -0.8x 4.2 + -0.8x = -0.33 + x + -1x Combine like terms: x + -1x = 0 4.2 + -0.8x = -0.33 + 0 4.2 + -0.8x = -0.33 Add '-4.2' to each side of the equation. 4.2 + -4.2 + -0.8x = -0.33 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + -0.8x = -0.33 + -4.2 -0.8x = -0.33 + -4.2 Combine like terms: -0.33 + -4.2 = -4.53 -0.8x = -4.53 Divide each side by '-0.8'. x = 5.6625 Simplifying x = 5.6625
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