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Simplifying 33 = 0.5(3x + -8 + 7x + 4) Reorder the terms: 33 = 0.5(-8 + 4 + 3x + 7x) Combine like terms: -8 + 4 = -4 33 = 0.5(-4 + 3x + 7x) Combine like terms: 3x + 7x = 10x 33 = 0.5(-4 + 10x) 33 = (-4 * 0.5 + 10x * 0.5) 33 = (-2 + 5x) Solving 33 = -2 + 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. 33 + -5x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + -5x = -2 + 0 33 + -5x = -2 Add '-33' to each side of the equation. 33 + -33 + -5x = -2 + -33 Combine like terms: 33 + -33 = 0 0 + -5x = -2 + -33 -5x = -2 + -33 Combine like terms: -2 + -33 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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