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Simplifying 0.04(2x + 1) + -0.03(2x + 3) = 0.29 Reorder the terms: 0.04(1 + 2x) + -0.03(2x + 3) = 0.29 (1 * 0.04 + 2x * 0.04) + -0.03(2x + 3) = 0.29 (0.04 + 0.08x) + -0.03(2x + 3) = 0.29 Reorder the terms: 0.04 + 0.08x + -0.03(3 + 2x) = 0.29 0.04 + 0.08x + (3 * -0.03 + 2x * -0.03) = 0.29 0.04 + 0.08x + (-0.09 + -0.06x) = 0.29 Reorder the terms: 0.04 + -0.09 + 0.08x + -0.06x = 0.29 Combine like terms: 0.04 + -0.09 = -0.05 -0.05 + 0.08x + -0.06x = 0.29 Combine like terms: 0.08x + -0.06x = 0.02x -0.05 + 0.02x = 0.29 Solving -0.05 + 0.02x = 0.29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05' to each side of the equation. -0.05 + 0.05 + 0.02x = 0.29 + 0.05 Combine like terms: -0.05 + 0.05 = 0.00 0.00 + 0.02x = 0.29 + 0.05 0.02x = 0.29 + 0.05 Combine like terms: 0.29 + 0.05 = 0.34 0.02x = 0.34 Divide each side by '0.02'. x = 17 Simplifying x = 17
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