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Simplifying 0.09 + -0.01(x + 7) = -0.03(4 + -1x) Reorder the terms: 0.09 + -0.01(7 + x) = -0.03(4 + -1x) 0.09 + (7 * -0.01 + x * -0.01) = -0.03(4 + -1x) 0.09 + (-0.07 + -0.01x) = -0.03(4 + -1x) Combine like terms: 0.09 + -0.07 = 0.02 0.02 + -0.01x = -0.03(4 + -1x) 0.02 + -0.01x = (4 * -0.03 + -1x * -0.03) 0.02 + -0.01x = (-0.12 + 0.03x) Solving 0.02 + -0.01x = -0.12 + 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. 0.02 + -0.01x + -0.03x = -0.12 + 0.03x + -0.03x Combine like terms: -0.01x + -0.03x = -0.04x 0.02 + -0.04x = -0.12 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 0.02 + -0.04x = -0.12 + 0.00 0.02 + -0.04x = -0.12 Add '-0.02' to each side of the equation. 0.02 + -0.02 + -0.04x = -0.12 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + -0.04x = -0.12 + -0.02 -0.04x = -0.12 + -0.02 Combine like terms: -0.12 + -0.02 = -0.14 -0.04x = -0.14 Divide each side by '-0.04'. x = 3.5 Simplifying x = 3.5
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