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Simplifying 0.12 + -0.03(x + 1) = -0.01(3 + -1x) Reorder the terms: 0.12 + -0.03(1 + x) = -0.01(3 + -1x) 0.12 + (1 * -0.03 + x * -0.03) = -0.01(3 + -1x) 0.12 + (-0.03 + -0.03x) = -0.01(3 + -1x) Combine like terms: 0.12 + -0.03 = 0.09 0.09 + -0.03x = -0.01(3 + -1x) 0.09 + -0.03x = (3 * -0.01 + -1x * -0.01) 0.09 + -0.03x = (-0.03 + 0.01x) Solving 0.09 + -0.03x = -0.03 + 0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01x' to each side of the equation. 0.09 + -0.03x + -0.01x = -0.03 + 0.01x + -0.01x Combine like terms: -0.03x + -0.01x = -0.04x 0.09 + -0.04x = -0.03 + 0.01x + -0.01x Combine like terms: 0.01x + -0.01x = 0.00 0.09 + -0.04x = -0.03 + 0.00 0.09 + -0.04x = -0.03 Add '-0.09' to each side of the equation. 0.09 + -0.09 + -0.04x = -0.03 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 0.00 + -0.04x = -0.03 + -0.09 -0.04x = -0.03 + -0.09 Combine like terms: -0.03 + -0.09 = -0.12 -0.04x = -0.12 Divide each side by '-0.04'. x = 3 Simplifying x = 3
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