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Simplifying -0.17x + 0.01(16x + 5) = 0.02(3 + -1x) Reorder the terms: -0.17x + 0.01(5 + 16x) = 0.02(3 + -1x) -0.17x + (5 * 0.01 + 16x * 0.01) = 0.02(3 + -1x) -0.17x + (0.05 + 0.16x) = 0.02(3 + -1x) Reorder the terms: 0.05 + -0.17x + 0.16x = 0.02(3 + -1x) Combine like terms: -0.17x + 0.16x = -0.01x 0.05 + -0.01x = 0.02(3 + -1x) 0.05 + -0.01x = (3 * 0.02 + -1x * 0.02) 0.05 + -0.01x = (0.06 + -0.02x) Solving 0.05 + -0.01x = 0.06 + -0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.02x' to each side of the equation. 0.05 + -0.01x + 0.02x = 0.06 + -0.02x + 0.02x Combine like terms: -0.01x + 0.02x = 0.01x 0.05 + 0.01x = 0.06 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 0.05 + 0.01x = 0.06 + 0.00 0.05 + 0.01x = 0.06 Add '-0.05' to each side of the equation. 0.05 + -0.05 + 0.01x = 0.06 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + 0.01x = 0.06 + -0.05 0.01x = 0.06 + -0.05 Combine like terms: 0.06 + -0.05 = 0.01 0.01x = 0.01 Divide each side by '0.01'. x = 1 Simplifying x = 1
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