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Simplifying 0.94(0.9x + 0.6) = 0.9x + -0.3 Reorder the terms: 0.94(0.6 + 0.9x) = 0.9x + -0.3 (0.6 * 0.94 + 0.9x * 0.94) = 0.9x + -0.3 (0.564 + 0.846x) = 0.9x + -0.3 Reorder the terms: 0.564 + 0.846x = -0.3 + 0.9x Solving 0.564 + 0.846x = -0.3 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 0.564 + 0.846x + -0.9x = -0.3 + 0.9x + -0.9x Combine like terms: 0.846x + -0.9x = -0.054x 0.564 + -0.054x = -0.3 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.564 + -0.054x = -0.3 + 0.0 0.564 + -0.054x = -0.3 Add '-0.564' to each side of the equation. 0.564 + -0.564 + -0.054x = -0.3 + -0.564 Combine like terms: 0.564 + -0.564 = 0.000 0.000 + -0.054x = -0.3 + -0.564 -0.054x = -0.3 + -0.564 Combine like terms: -0.3 + -0.564 = -0.864 -0.054x = -0.864 Divide each side by '-0.054'. x = 16 Simplifying x = 16
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