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Simplifying x + -7 = 0.75(x + -12) Reorder the terms: -7 + x = 0.75(x + -12) Reorder the terms: -7 + x = 0.75(-12 + x) -7 + x = (-12 * 0.75 + x * 0.75) -7 + x = (-9 + 0.75x) Solving -7 + x = -9 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. -7 + x + -0.75x = -9 + 0.75x + -0.75x Combine like terms: x + -0.75x = 0.25x -7 + 0.25x = -9 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -7 + 0.25x = -9 + 0.00 -7 + 0.25x = -9 Add '7' to each side of the equation. -7 + 7 + 0.25x = -9 + 7 Combine like terms: -7 + 7 = 0 0 + 0.25x = -9 + 7 0.25x = -9 + 7 Combine like terms: -9 + 7 = -2 0.25x = -2 Divide each side by '0.25'. x = -8 Simplifying x = -8
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