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Simplifying 0.01(x + -4) + -0.04 = 0.01(5x + 4) Reorder the terms: 0.01(-4 + x) + -0.04 = 0.01(5x + 4) (-4 * 0.01 + x * 0.01) + -0.04 = 0.01(5x + 4) (-0.04 + 0.01x) + -0.04 = 0.01(5x + 4) Reorder the terms: -0.04 + -0.04 + 0.01x = 0.01(5x + 4) Combine like terms: -0.04 + -0.04 = -0.08 -0.08 + 0.01x = 0.01(5x + 4) Reorder the terms: -0.08 + 0.01x = 0.01(4 + 5x) -0.08 + 0.01x = (4 * 0.01 + 5x * 0.01) -0.08 + 0.01x = (0.04 + 0.05x) Solving -0.08 + 0.01x = 0.04 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -0.08 + 0.01x + -0.05x = 0.04 + 0.05x + -0.05x Combine like terms: 0.01x + -0.05x = -0.04x -0.08 + -0.04x = 0.04 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.08 + -0.04x = 0.04 + 0.00 -0.08 + -0.04x = 0.04 Add '0.08' to each side of the equation. -0.08 + 0.08 + -0.04x = 0.04 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + -0.04x = 0.04 + 0.08 -0.04x = 0.04 + 0.08 Combine like terms: 0.04 + 0.08 = 0.12 -0.04x = 0.12 Divide each side by '-0.04'. x = -3 Simplifying x = -3
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