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Simplifying 10x + 0.5(-10) * x2 = 15(x + 1) + 0.5(-10) * x2 Multiply 0.5 * -10 10x + -5x2 = 15(x + 1) + 0.5(-10) * x2 Reorder the terms: 10x + -5x2 = 15(1 + x) + 0.5(-10) * x2 10x + -5x2 = (1 * 15 + x * 15) + 0.5(-10) * x2 10x + -5x2 = (15 + 15x) + 0.5(-10) * x2 Multiply 0.5 * -10 10x + -5x2 = 15 + 15x + -5x2 Add '5x2' to each side of the equation. 10x + -5x2 + 5x2 = 15 + 15x + -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 10x + 0 = 15 + 15x + -5x2 + 5x2 10x = 15 + 15x + -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 10x = 15 + 15x + 0 10x = 15 + 15x Solving 10x = 15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10x + -15x = 15 + 15x + -15x Combine like terms: 10x + -15x = -5x -5x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 -5x = 15 + 0 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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