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Simplifying 0.75x + 9 + -1(-1) = 0.5x + (-7) Multiply -1 * -1 0.75x + 9 + 1 = 0.5x + (-7) Reorder the terms: 9 + 1 + 0.75x = 0.5x + (-7) Combine like terms: 9 + 1 = 10 10 + 0.75x = 0.5x + (-7) 10 + 0.75x = 0.5x + -7 Reorder the terms: 10 + 0.75x = -7 + 0.5x Solving 10 + 0.75x = -7 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 10 + 0.75x + -0.5x = -7 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x 10 + 0.25x = -7 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 10 + 0.25x = -7 + 0.0 10 + 0.25x = -7 Add '-10' to each side of the equation. 10 + -10 + 0.25x = -7 + -10 Combine like terms: 10 + -10 = 0 0 + 0.25x = -7 + -10 0.25x = -7 + -10 Combine like terms: -7 + -10 = -17 0.25x = -17 Divide each side by '0.25'. x = -68 Simplifying x = -68
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