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Simplifying 0.08x + -0.12(x + -4) = 0.03(x + -5) Reorder the terms: 0.08x + -0.12(-4 + x) = 0.03(x + -5) 0.08x + (-4 * -0.12 + x * -0.12) = 0.03(x + -5) 0.08x + (0.48 + -0.12x) = 0.03(x + -5) Reorder the terms: 0.48 + 0.08x + -0.12x = 0.03(x + -5) Combine like terms: 0.08x + -0.12x = -0.04x 0.48 + -0.04x = 0.03(x + -5) Reorder the terms: 0.48 + -0.04x = 0.03(-5 + x) 0.48 + -0.04x = (-5 * 0.03 + x * 0.03) 0.48 + -0.04x = (-0.15 + 0.03x) Solving 0.48 + -0.04x = -0.15 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. 0.48 + -0.04x + -0.03x = -0.15 + 0.03x + -0.03x Combine like terms: -0.04x + -0.03x = -0.07x 0.48 + -0.07x = -0.15 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 0.48 + -0.07x = -0.15 + 0.00 0.48 + -0.07x = -0.15 Add '-0.48' to each side of the equation. 0.48 + -0.48 + -0.07x = -0.15 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + -0.07x = -0.15 + -0.48 -0.07x = -0.15 + -0.48 Combine like terms: -0.15 + -0.48 = -0.63 -0.07x = -0.63 Divide each side by '-0.07'. x = 9 Simplifying x = 9
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