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Simplifying 0.17 + -0.01(x + 2) = -0.03(3 + -1x) Reorder the terms: 0.17 + -0.01(2 + x) = -0.03(3 + -1x) 0.17 + (2 * -0.01 + x * -0.01) = -0.03(3 + -1x) 0.17 + (-0.02 + -0.01x) = -0.03(3 + -1x) Combine like terms: 0.17 + -0.02 = 0.15 0.15 + -0.01x = -0.03(3 + -1x) 0.15 + -0.01x = (3 * -0.03 + -1x * -0.03) 0.15 + -0.01x = (-0.09 + 0.03x) Solving 0.15 + -0.01x = -0.09 + 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. 0.15 + -0.01x + -0.03x = -0.09 + 0.03x + -0.03x Combine like terms: -0.01x + -0.03x = -0.04x 0.15 + -0.04x = -0.09 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 0.15 + -0.04x = -0.09 + 0.00 0.15 + -0.04x = -0.09 Add '-0.15' to each side of the equation. 0.15 + -0.15 + -0.04x = -0.09 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -0.04x = -0.09 + -0.15 -0.04x = -0.09 + -0.15 Combine like terms: -0.09 + -0.15 = -0.24 -0.04x = -0.24 Divide each side by '-0.04'. x = 6 Simplifying x = 6
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