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Simplifying 0.33(21x + 15) + -16 = -0.5(10x + -12) Reorder the terms: 0.33(15 + 21x) + -16 = -0.5(10x + -12) (15 * 0.33 + 21x * 0.33) + -16 = -0.5(10x + -12) (4.95 + 6.93x) + -16 = -0.5(10x + -12) Reorder the terms: 4.95 + -16 + 6.93x = -0.5(10x + -12) Combine like terms: 4.95 + -16 = -11.05 -11.05 + 6.93x = -0.5(10x + -12) Reorder the terms: -11.05 + 6.93x = -0.5(-12 + 10x) -11.05 + 6.93x = (-12 * -0.5 + 10x * -0.5) -11.05 + 6.93x = (6 + -5x) Solving -11.05 + 6.93x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -11.05 + 6.93x + 5x = 6 + -5x + 5x Combine like terms: 6.93x + 5x = 11.93x -11.05 + 11.93x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 -11.05 + 11.93x = 6 + 0 -11.05 + 11.93x = 6 Add '11.05' to each side of the equation. -11.05 + 11.05 + 11.93x = 6 + 11.05 Combine like terms: -11.05 + 11.05 = 0.00 0.00 + 11.93x = 6 + 11.05 11.93x = 6 + 11.05 Combine like terms: 6 + 11.05 = 17.05 11.93x = 17.05 Divide each side by '11.93'. x = 1.429170159 Simplifying x = 1.429170159
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