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Simplifying 0.13 + -0.01(x + 1) = -0.02(3 + -1x) Reorder the terms: 0.13 + -0.01(1 + x) = -0.02(3 + -1x) 0.13 + (1 * -0.01 + x * -0.01) = -0.02(3 + -1x) 0.13 + (-0.01 + -0.01x) = -0.02(3 + -1x) Combine like terms: 0.13 + -0.01 = 0.12 0.12 + -0.01x = -0.02(3 + -1x) 0.12 + -0.01x = (3 * -0.02 + -1x * -0.02) 0.12 + -0.01x = (-0.06 + 0.02x) Solving 0.12 + -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. 0.12 + -0.01x + -0.02x = -0.06 + 0.02x + -0.02x Combine like terms: -0.01x + -0.02x = -0.03x 0.12 + -0.03x = -0.06 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 0.12 + -0.03x = -0.06 + 0.00 0.12 + -0.03x = -0.06 Add '-0.12' to each side of the equation. 0.12 + -0.12 + -0.03x = -0.06 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + -0.03x = -0.06 + -0.12 -0.03x = -0.06 + -0.12 Combine like terms: -0.06 + -0.12 = -0.18 -0.03x = -0.18 Divide each side by '-0.03'. x = 6 Simplifying x = 6
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