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Simplifying 0.3(9x + -3) = 0.27(x + 7) + -1.98 Reorder the terms: 0.3(-3 + 9x) = 0.27(x + 7) + -1.98 (-3 * 0.3 + 9x * 0.3) = 0.27(x + 7) + -1.98 (-0.9 + 2.7x) = 0.27(x + 7) + -1.98 Reorder the terms: -0.9 + 2.7x = 0.27(7 + x) + -1.98 -0.9 + 2.7x = (7 * 0.27 + x * 0.27) + -1.98 -0.9 + 2.7x = (1.89 + 0.27x) + -1.98 Reorder the terms: -0.9 + 2.7x = 1.89 + -1.98 + 0.27x Combine like terms: 1.89 + -1.98 = -0.09 -0.9 + 2.7x = -0.09 + 0.27x Solving -0.9 + 2.7x = -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. -0.9 + 2.7x + -0.27x = -0.09 + 0.27x + -0.27x Combine like terms: 2.7x + -0.27x = 2.43x -0.9 + 2.43x = -0.09 + 0.27x + -0.27x Combine like terms: 0.27x + -0.27x = 0.00 -0.9 + 2.43x = -0.09 + 0.00 -0.9 + 2.43x = -0.09 Add '0.9' to each side of the equation. -0.9 + 0.9 + 2.43x = -0.09 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 2.43x = -0.09 + 0.9 2.43x = -0.09 + 0.9 Combine like terms: -0.09 + 0.9 = 0.81 2.43x = 0.81 Divide each side by '2.43'. x = 0.3333333333 Simplifying x = 0.3333333333
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