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Simplifying 3x + 4 = 0.5(10x + -10) Reorder the terms: 4 + 3x = 0.5(10x + -10) Reorder the terms: 4 + 3x = 0.5(-10 + 10x) 4 + 3x = (-10 * 0.5 + 10x * 0.5) 4 + 3x = (-5 + 5x) Solving 4 + 3x = -5 + 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. 4 + 3x + -5x = -5 + 5x + -5x Combine like terms: 3x + -5x = -2x 4 + -2x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -2x = -5 + 0 4 + -2x = -5 Add '-4' to each side of the equation. 4 + -4 + -2x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -5 + -4 -2x = -5 + -4 Combine like terms: -5 + -4 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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