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Simplifying 0.05x + 0.10(14 + -2x) + 0.25 + (x + 6) = 3.3 0.05x + (14 * 0.10 + -2x * 0.10) + 0.25 + (x + 6) = 3.3 0.05x + (1.4 + -0.2x) + 0.25 + (x + 6) = 3.3 Reorder the terms: 0.05x + 1.4 + -0.2x + 0.25 + (6 + x) = 3.3 Remove parenthesis around (6 + x) 0.05x + 1.4 + -0.2x + 0.25 + 6 + x = 3.3 Reorder the terms: 1.4 + 0.25 + 6 + 0.05x + -0.2x + x = 3.3 Combine like terms: 1.4 + 0.25 = 1.65 1.65 + 6 + 0.05x + -0.2x + x = 3.3 Combine like terms: 1.65 + 6 = 7.65 7.65 + 0.05x + -0.2x + x = 3.3 Combine like terms: 0.05x + -0.2x = -0.15x 7.65 + -0.15x + x = 3.3 Combine like terms: -0.15x + x = 0.85x 7.65 + 0.85x = 3.3 Solving 7.65 + 0.85x = 3.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.65' to each side of the equation. 7.65 + -7.65 + 0.85x = 3.3 + -7.65 Combine like terms: 7.65 + -7.65 = 0.00 0.00 + 0.85x = 3.3 + -7.65 0.85x = 3.3 + -7.65 Combine like terms: 3.3 + -7.65 = -4.35 0.85x = -4.35 Divide each side by '0.85'. x = -5.117647059 Simplifying x = -5.117647059
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