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Simplifying 0.25 + -0.03(x + 2) = 0.02(3 + -1x) Reorder the terms: 0.25 + -0.03(2 + x) = 0.02(3 + -1x) 0.25 + (2 * -0.03 + x * -0.03) = 0.02(3 + -1x) 0.25 + (-0.06 + -0.03x) = 0.02(3 + -1x) Combine like terms: 0.25 + -0.06 = 0.19 0.19 + -0.03x = 0.02(3 + -1x) 0.19 + -0.03x = (3 * 0.02 + -1x * 0.02) 0.19 + -0.03x = (0.06 + -0.02x) Solving 0.19 + -0.03x = 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. 0.19 + -0.03x + 0.02x = 0.06 + -0.02x + 0.02x Combine like terms: -0.03x + 0.02x = -0.01x 0.19 + -0.01x = 0.06 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 0.19 + -0.01x = 0.06 + 0.00 0.19 + -0.01x = 0.06 Add '-0.19' to each side of the equation. 0.19 + -0.19 + -0.01x = 0.06 + -0.19 Combine like terms: 0.19 + -0.19 = 0.00 0.00 + -0.01x = 0.06 + -0.19 -0.01x = 0.06 + -0.19 Combine like terms: 0.06 + -0.19 = -0.13 -0.01x = -0.13 Divide each side by '-0.01'. x = 13 Simplifying x = 13
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