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Simplifying 0.33(21x + 15) + -10 = 0.5(8x + -16) Reorder the terms: 0.33(15 + 21x) + -10 = 0.5(8x + -16) (15 * 0.33 + 21x * 0.33) + -10 = 0.5(8x + -16) (4.95 + 6.93x) + -10 = 0.5(8x + -16) Reorder the terms: 4.95 + -10 + 6.93x = 0.5(8x + -16) Combine like terms: 4.95 + -10 = -5.05 -5.05 + 6.93x = 0.5(8x + -16) Reorder the terms: -5.05 + 6.93x = 0.5(-16 + 8x) -5.05 + 6.93x = (-16 * 0.5 + 8x * 0.5) -5.05 + 6.93x = (-8 + 4x) Solving -5.05 + 6.93x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5.05 + 6.93x + -4x = -8 + 4x + -4x Combine like terms: 6.93x + -4x = 2.93x -5.05 + 2.93x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -5.05 + 2.93x = -8 + 0 -5.05 + 2.93x = -8 Add '5.05' to each side of the equation. -5.05 + 5.05 + 2.93x = -8 + 5.05 Combine like terms: -5.05 + 5.05 = 0.00 0.00 + 2.93x = -8 + 5.05 2.93x = -8 + 5.05 Combine like terms: -8 + 5.05 = -2.95 2.93x = -2.95 Divide each side by '2.93'. x = -1.006825939 Simplifying x = -1.006825939
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