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Simplifying -0.10(16) + 0.30x = 0.05(x + -12) Multiply -0.10 * 16 -1.6 + 0.30x = 0.05(x + -12) Reorder the terms: -1.6 + 0.30x = 0.05(-12 + x) -1.6 + 0.30x = (-12 * 0.05 + x * 0.05) -1.6 + 0.30x = (-0.6 + 0.05x) Solving -1.6 + 0.30x = -0.6 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -1.6 + 0.30x + -0.05x = -0.6 + 0.05x + -0.05x Combine like terms: 0.30x + -0.05x = 0.25x -1.6 + 0.25x = -0.6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.6 + 0.25x = -0.6 + 0.00 -1.6 + 0.25x = -0.6 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.25x = -0.6 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.25x = -0.6 + 1.6 0.25x = -0.6 + 1.6 Combine like terms: -0.6 + 1.6 = 1 0.25x = 1 Divide each side by '0.25'. x = 4 Simplifying x = 4
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