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Simplifying -0.02x + -0.02(4 + -4x) = 0.04(x + -4) + -0.1 -0.02x + (4 * -0.02 + -4x * -0.02) = 0.04(x + -4) + -0.1 -0.02x + (-0.08 + 0.08x) = 0.04(x + -4) + -0.1 Reorder the terms: -0.08 + -0.02x + 0.08x = 0.04(x + -4) + -0.1 Combine like terms: -0.02x + 0.08x = 0.06x -0.08 + 0.06x = 0.04(x + -4) + -0.1 Reorder the terms: -0.08 + 0.06x = 0.04(-4 + x) + -0.1 -0.08 + 0.06x = (-4 * 0.04 + x * 0.04) + -0.1 -0.08 + 0.06x = (-0.16 + 0.04x) + -0.1 Reorder the terms: -0.08 + 0.06x = -0.16 + -0.1 + 0.04x Combine like terms: -0.16 + -0.1 = -0.26 -0.08 + 0.06x = -0.26 + 0.04x Solving -0.08 + 0.06x = -0.26 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -0.08 + 0.06x + -0.04x = -0.26 + 0.04x + -0.04x Combine like terms: 0.06x + -0.04x = 0.02x -0.08 + 0.02x = -0.26 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.08 + 0.02x = -0.26 + 0.00 -0.08 + 0.02x = -0.26 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.02x = -0.26 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.02x = -0.26 + 0.08 0.02x = -0.26 + 0.08 Combine like terms: -0.26 + 0.08 = -0.18 0.02x = -0.18 Divide each side by '0.02'. x = -9 Simplifying x = -9
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