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Simplifying 0.02(x + 2) = 3x + 7.4 Reorder the terms: 0.02(2 + x) = 3x + 7.4 (2 * 0.02 + x * 0.02) = 3x + 7.4 (0.04 + 0.02x) = 3x + 7.4 Reorder the terms: 0.04 + 0.02x = 7.4 + 3x Solving 0.04 + 0.02x = 7.4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 0.04 + 0.02x + -3x = 7.4 + 3x + -3x Combine like terms: 0.02x + -3x = -2.98x 0.04 + -2.98x = 7.4 + 3x + -3x Combine like terms: 3x + -3x = 0 0.04 + -2.98x = 7.4 + 0 0.04 + -2.98x = 7.4 Add '-0.04' to each side of the equation. 0.04 + -0.04 + -2.98x = 7.4 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + -2.98x = 7.4 + -0.04 -2.98x = 7.4 + -0.04 Combine like terms: 7.4 + -0.04 = 7.36 -2.98x = 7.36 Divide each side by '-2.98'. x = -2.469798658 Simplifying x = -2.469798658
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