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Simplifying -0.02(2x + 4) = 0.03 + -0.01(x + 5) Reorder the terms: -0.02(4 + 2x) = 0.03 + -0.01(x + 5) (4 * -0.02 + 2x * -0.02) = 0.03 + -0.01(x + 5) (-0.08 + -0.04x) = 0.03 + -0.01(x + 5) Reorder the terms: -0.08 + -0.04x = 0.03 + -0.01(5 + x) -0.08 + -0.04x = 0.03 + (5 * -0.01 + x * -0.01) -0.08 + -0.04x = 0.03 + (-0.05 + -0.01x) Combine like terms: 0.03 + -0.05 = -0.02 -0.08 + -0.04x = -0.02 + -0.01x Solving -0.08 + -0.04x = -0.02 + -0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.01x' to each side of the equation. -0.08 + -0.04x + 0.01x = -0.02 + -0.01x + 0.01x Combine like terms: -0.04x + 0.01x = -0.03x -0.08 + -0.03x = -0.02 + -0.01x + 0.01x Combine like terms: -0.01x + 0.01x = 0.00 -0.08 + -0.03x = -0.02 + 0.00 -0.08 + -0.03x = -0.02 Add '0.08' to each side of the equation. -0.08 + 0.08 + -0.03x = -0.02 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + -0.03x = -0.02 + 0.08 -0.03x = -0.02 + 0.08 Combine like terms: -0.02 + 0.08 = 0.06 -0.03x = 0.06 Divide each side by '-0.03'. x = -2 Simplifying x = -2
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