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Simplifying 0.09 + -0.01(x + 2) = 0.03(3 + -1x) Reorder the terms: 0.09 + -0.01(2 + x) = 0.03(3 + -1x) 0.09 + (2 * -0.01 + x * -0.01) = 0.03(3 + -1x) 0.09 + (-0.02 + -0.01x) = 0.03(3 + -1x) Combine like terms: 0.09 + -0.02 = 0.07 0.07 + -0.01x = 0.03(3 + -1x) 0.07 + -0.01x = (3 * 0.03 + -1x * 0.03) 0.07 + -0.01x = (0.09 + -0.03x) Solving 0.07 + -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. 0.07 + -0.01x + 0.03x = 0.09 + -0.03x + 0.03x Combine like terms: -0.01x + 0.03x = 0.02x 0.07 + 0.02x = 0.09 + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 0.07 + 0.02x = 0.09 + 0.00 0.07 + 0.02x = 0.09 Add '-0.07' to each side of the equation. 0.07 + -0.07 + 0.02x = 0.09 + -0.07 Combine like terms: 0.07 + -0.07 = 0.00 0.00 + 0.02x = 0.09 + -0.07 0.02x = 0.09 + -0.07 Combine like terms: 0.09 + -0.07 = 0.02 0.02x = 0.02 Divide each side by '0.02'. x = 1 Simplifying x = 1
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