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Simplifying 0.07 + -0.01(x + 1) = -0.2(3 + -1x) Reorder the terms: 0.07 + -0.01(1 + x) = -0.2(3 + -1x) 0.07 + (1 * -0.01 + x * -0.01) = -0.2(3 + -1x) 0.07 + (-0.01 + -0.01x) = -0.2(3 + -1x) Combine like terms: 0.07 + -0.01 = 0.06 0.06 + -0.01x = -0.2(3 + -1x) 0.06 + -0.01x = (3 * -0.2 + -1x * -0.2) 0.06 + -0.01x = (-0.6 + 0.2x) Solving 0.06 + -0.01x = -0.6 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.06 + -0.01x + -0.2x = -0.6 + 0.2x + -0.2x Combine like terms: -0.01x + -0.2x = -0.21x 0.06 + -0.21x = -0.6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.06 + -0.21x = -0.6 + 0.0 0.06 + -0.21x = -0.6 Add '-0.06' to each side of the equation. 0.06 + -0.06 + -0.21x = -0.6 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + -0.21x = -0.6 + -0.06 -0.21x = -0.6 + -0.06 Combine like terms: -0.6 + -0.06 = -0.66 -0.21x = -0.66 Divide each side by '-0.21'. x = 3.142857143 Simplifying x = 3.142857143
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