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Simplifying 0.3(x + -9) = 4x + -3(x + -1) * 5.3 Reorder the terms: 0.3(-9 + x) = 4x + -3(x + -1) * 5.3 (-9 * 0.3 + x * 0.3) = 4x + -3(x + -1) * 5.3 (-2.7 + 0.3x) = 4x + -3(x + -1) * 5.3 Reorder the terms: -2.7 + 0.3x = 4x + -3(-1 + x) * 5.3 Reorder the terms for easier multiplication: -2.7 + 0.3x = 4x + -3 * 5.3(-1 + x) Multiply -3 * 5.3 -2.7 + 0.3x = 4x + -15.9(-1 + x) -2.7 + 0.3x = 4x + (-1 * -15.9 + x * -15.9) -2.7 + 0.3x = 4x + (15.9 + -15.9x) Reorder the terms: -2.7 + 0.3x = 15.9 + 4x + -15.9x Combine like terms: 4x + -15.9x = -11.9x -2.7 + 0.3x = 15.9 + -11.9x Solving -2.7 + 0.3x = 15.9 + -11.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.9x' to each side of the equation. -2.7 + 0.3x + 11.9x = 15.9 + -11.9x + 11.9x Combine like terms: 0.3x + 11.9x = 12.2x -2.7 + 12.2x = 15.9 + -11.9x + 11.9x Combine like terms: -11.9x + 11.9x = 0.0 -2.7 + 12.2x = 15.9 + 0.0 -2.7 + 12.2x = 15.9 Add '2.7' to each side of the equation. -2.7 + 2.7 + 12.2x = 15.9 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 12.2x = 15.9 + 2.7 12.2x = 15.9 + 2.7 Combine like terms: 15.9 + 2.7 = 18.6 12.2x = 18.6 Divide each side by '12.2'. x = 1.524590164 Simplifying x = 1.524590164
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