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Simplifying 2.55 = 0.05x + (0.10x + -12) Reorder the terms: 2.55 = 0.05x + (-12 + 0.10x) Remove parenthesis around (-12 + 0.10x) 2.55 = 0.05x + -12 + 0.10x Reorder the terms: 2.55 = -12 + 0.05x + 0.10x Combine like terms: 0.05x + 0.10x = 0.15x 2.55 = -12 + 0.15x Solving 2.55 = -12 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 2.55 + -0.15x = -12 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 2.55 + -0.15x = -12 + 0.00 2.55 + -0.15x = -12 Add '-2.55' to each side of the equation. 2.55 + -2.55 + -0.15x = -12 + -2.55 Combine like terms: 2.55 + -2.55 = 0.00 0.00 + -0.15x = -12 + -2.55 -0.15x = -12 + -2.55 Combine like terms: -12 + -2.55 = -14.55 -0.15x = -14.55 Divide each side by '-0.15'. x = 97 Simplifying x = 97
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