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Simplifying 0.003(9x + -3) = 0.27(x + 7) + -1.98 Reorder the terms: 0.003(-3 + 9x) = 0.27(x + 7) + -1.98 (-3 * 0.003 + 9x * 0.003) = 0.27(x + 7) + -1.98 (-0.009 + 0.027x) = 0.27(x + 7) + -1.98 Reorder the terms: -0.009 + 0.027x = 0.27(7 + x) + -1.98 -0.009 + 0.027x = (7 * 0.27 + x * 0.27) + -1.98 -0.009 + 0.027x = (1.89 + 0.27x) + -1.98 Reorder the terms: -0.009 + 0.027x = 1.89 + -1.98 + 0.27x Combine like terms: 1.89 + -1.98 = -0.09 -0.009 + 0.027x = -0.09 + 0.27x Solving -0.009 + 0.027x = -0.09 + 0.27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.27x' to each side of the equation. -0.009 + 0.027x + -0.27x = -0.09 + 0.27x + -0.27x Combine like terms: 0.027x + -0.27x = -0.243x -0.009 + -0.243x = -0.09 + 0.27x + -0.27x Combine like terms: 0.27x + -0.27x = 0.00 -0.009 + -0.243x = -0.09 + 0.00 -0.009 + -0.243x = -0.09 Add '0.009' to each side of the equation. -0.009 + 0.009 + -0.243x = -0.09 + 0.009 Combine like terms: -0.009 + 0.009 = 0.000 0.000 + -0.243x = -0.09 + 0.009 -0.243x = -0.09 + 0.009 Combine like terms: -0.09 + 0.009 = -0.081 -0.243x = -0.081 Divide each side by '-0.243'. x = 0.3333333333 Simplifying x = 0.3333333333
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