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Simplifying 10x * 0.5 = 7(x + -1) Reorder the terms for easier multiplication: 10 * 0.5x = 7(x + -1) Multiply 10 * 0.5 5x = 7(x + -1) Reorder the terms: 5x = 7(-1 + x) 5x = (-1 * 7 + x * 7) 5x = (-7 + 7x) Solving 5x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5x + -7x = -7 + 7x + -7x Combine like terms: 5x + -7x = -2x -2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -2x = -7 + 0 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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