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Simplifying -0.12(x + 8) = 2.4 + -0.08x Reorder the terms: -0.12(8 + x) = 2.4 + -0.08x (8 * -0.12 + x * -0.12) = 2.4 + -0.08x (-0.96 + -0.12x) = 2.4 + -0.08x Solving -0.96 + -0.12x = 2.4 + -0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.08x' to each side of the equation. -0.96 + -0.12x + 0.08x = 2.4 + -0.08x + 0.08x Combine like terms: -0.12x + 0.08x = -0.04x -0.96 + -0.04x = 2.4 + -0.08x + 0.08x Combine like terms: -0.08x + 0.08x = 0.00 -0.96 + -0.04x = 2.4 + 0.00 -0.96 + -0.04x = 2.4 Add '0.96' to each side of the equation. -0.96 + 0.96 + -0.04x = 2.4 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + -0.04x = 2.4 + 0.96 -0.04x = 2.4 + 0.96 Combine like terms: 2.4 + 0.96 = 3.36 -0.04x = 3.36 Divide each side by '-0.04'. x = -84 Simplifying x = -84
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