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Simplifying 0.21 + -0.02(x + 1) = 0.03(2 + -1x) Reorder the terms: 0.21 + -0.02(1 + x) = 0.03(2 + -1x) 0.21 + (1 * -0.02 + x * -0.02) = 0.03(2 + -1x) 0.21 + (-0.02 + -0.02x) = 0.03(2 + -1x) Combine like terms: 0.21 + -0.02 = 0.19 0.19 + -0.02x = 0.03(2 + -1x) 0.19 + -0.02x = (2 * 0.03 + -1x * 0.03) 0.19 + -0.02x = (0.06 + -0.03x) Solving 0.19 + -0.02x = 0.06 + -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. 0.19 + -0.02x + 0.03x = 0.06 + -0.03x + 0.03x Combine like terms: -0.02x + 0.03x = 0.01x 0.19 + 0.01x = 0.06 + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 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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