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Simplifying 0.2(45x + 35) + -14 = -0.33(9x + -6) Reorder the terms: 0.2(35 + 45x) + -14 = -0.33(9x + -6) (35 * 0.2 + 45x * 0.2) + -14 = -0.33(9x + -6) (7 + 9x) + -14 = -0.33(9x + -6) Reorder the terms: 7 + -14 + 9x = -0.33(9x + -6) Combine like terms: 7 + -14 = -7 -7 + 9x = -0.33(9x + -6) Reorder the terms: -7 + 9x = -0.33(-6 + 9x) -7 + 9x = (-6 * -0.33 + 9x * -0.33) -7 + 9x = (1.98 + -2.97x) Solving -7 + 9x = 1.98 + -2.97x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.97x' to each side of the equation. -7 + 9x + 2.97x = 1.98 + -2.97x + 2.97x Combine like terms: 9x + 2.97x = 11.97x -7 + 11.97x = 1.98 + -2.97x + 2.97x Combine like terms: -2.97x + 2.97x = 0.00 -7 + 11.97x = 1.98 + 0.00 -7 + 11.97x = 1.98 Add '7' to each side of the equation. -7 + 7 + 11.97x = 1.98 + 7 Combine like terms: -7 + 7 = 0 0 + 11.97x = 1.98 + 7 11.97x = 1.98 + 7 Combine like terms: 1.98 + 7 = 8.98 11.97x = 8.98 Divide each side by '11.97'. x = 0.7502088555 Simplifying x = 0.7502088555
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