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Simplifying -0.01(5x + 4) = 0.04 + -0.01(x + 4) Reorder the terms: -0.01(4 + 5x) = 0.04 + -0.01(x + 4) (4 * -0.01 + 5x * -0.01) = 0.04 + -0.01(x + 4) (-0.04 + -0.05x) = 0.04 + -0.01(x + 4) Reorder the terms: -0.04 + -0.05x = 0.04 + -0.01(4 + x) -0.04 + -0.05x = 0.04 + (4 * -0.01 + x * -0.01) -0.04 + -0.05x = 0.04 + (-0.04 + -0.01x) Combine like terms: 0.04 + -0.04 = 0.00 -0.04 + -0.05x = 0.00 + -0.01x -0.04 + -0.05x = -0.01x Solving -0.04 + -0.05x = -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. -0.04 + -0.05x + 0.01x = -0.01x + 0.01x Combine like terms: -0.05x + 0.01x = -0.04x -0.04 + -0.04x = -0.01x + 0.01x Combine like terms: -0.01x + 0.01x = 0.00 -0.04 + -0.04x = 0.00 Add '0.04' to each side of the equation. -0.04 + 0.04 + -0.04x = 0.00 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + -0.04x = 0.00 + 0.04 -0.04x = 0.00 + 0.04 Combine like terms: 0.00 + 0.04 = 0.04 -0.04x = 0.04 Divide each side by '-0.04'. x = -1 Simplifying x = -1
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