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Simplifying 0.16 + -0.01(x + 1) = 0.03(3 + -1x) Reorder the terms: 0.16 + -0.01(1 + x) = 0.03(3 + -1x) 0.16 + (1 * -0.01 + x * -0.01) = 0.03(3 + -1x) 0.16 + (-0.01 + -0.01x) = 0.03(3 + -1x) Combine like terms: 0.16 + -0.01 = 0.15 0.15 + -0.01x = 0.03(3 + -1x) 0.15 + -0.01x = (3 * 0.03 + -1x * 0.03) 0.15 + -0.01x = (0.09 + -0.03x) Solving 0.15 + -0.01x = 0.09 + -0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.03x' to each side of the equation. 0.15 + -0.01x + 0.03x = 0.09 + -0.03x + 0.03x Combine like terms: -0.01x + 0.03x = 0.02x 0.15 + 0.02x = 0.09 + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 0.15 + 0.02x = 0.09 + 0.00 0.15 + 0.02x = 0.09 Add '-0.15' to each side of the equation. 0.15 + -0.15 + 0.02x = 0.09 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + 0.02x = 0.09 + -0.15 0.02x = 0.09 + -0.15 Combine like terms: 0.09 + -0.15 = -0.06 0.02x = -0.06 Divide each side by '0.02'. x = -3 Simplifying x = -3
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