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Simplifying 0.04x + -0.06(x + -8) = 0.10x Reorder the terms: 0.04x + -0.06(-8 + x) = 0.10x 0.04x + (-8 * -0.06 + x * -0.06) = 0.10x 0.04x + (0.48 + -0.06x) = 0.10x Reorder the terms: 0.48 + 0.04x + -0.06x = 0.10x Combine like terms: 0.04x + -0.06x = -0.02x 0.48 + -0.02x = 0.10x Solving 0.48 + -0.02x = 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 0.48 + -0.02x + -0.10x = 0.10x + -0.10x Combine like terms: -0.02x + -0.10x = -0.12x 0.48 + -0.12x = 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 0.48 + -0.12x = 0.00 Add '-0.48' to each side of the equation. 0.48 + -0.48 + -0.12x = 0.00 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + -0.12x = 0.00 + -0.48 -0.12x = 0.00 + -0.48 Combine like terms: 0.00 + -0.48 = -0.48 -0.12x = -0.48 Divide each side by '-0.12'. x = 4 Simplifying x = 4
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