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Simplifying 0.07 + -0.01(x + 1) = -0.03(2 + -1x) Reorder the terms: 0.07 + -0.01(1 + x) = -0.03(2 + -1x) 0.07 + (1 * -0.01 + x * -0.01) = -0.03(2 + -1x) 0.07 + (-0.01 + -0.01x) = -0.03(2 + -1x) Combine like terms: 0.07 + -0.01 = 0.06 0.06 + -0.01x = -0.03(2 + -1x) 0.06 + -0.01x = (2 * -0.03 + -1x * -0.03) 0.06 + -0.01x = (-0.06 + 0.03x) Solving 0.06 + -0.01x = -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. 0.06 + -0.01x + -0.03x = -0.06 + 0.03x + -0.03x Combine like terms: -0.01x + -0.03x = -0.04x 0.06 + -0.04x = -0.06 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 0.06 + -0.04x = -0.06 + 0.00 0.06 + -0.04x = -0.06 Add '-0.06' to each side of the equation. 0.06 + -0.06 + -0.04x = -0.06 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + -0.04x = -0.06 + -0.06 -0.04x = -0.06 + -0.06 Combine like terms: -0.06 + -0.06 = -0.12 -0.04x = -0.12 Divide each side by '-0.04'. x = 3 Simplifying x = 3
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