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Simplifying x + 1.5 = 0.75(x + -0.5) Reorder the terms: 1.5 + x = 0.75(x + -0.5) Reorder the terms: 1.5 + x = 0.75(-0.5 + x) 1.5 + x = (-0.5 * 0.75 + x * 0.75) 1.5 + x = (-0.375 + 0.75x) Solving 1.5 + x = -0.375 + 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. 1.5 + x + -0.75x = -0.375 + 0.75x + -0.75x Combine like terms: x + -0.75x = 0.25x 1.5 + 0.25x = -0.375 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 1.5 + 0.25x = -0.375 + 0.00 1.5 + 0.25x = -0.375 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.25x = -0.375 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.25x = -0.375 + -1.5 0.25x = -0.375 + -1.5 Combine like terms: -0.375 + -1.5 = -1.875 0.25x = -1.875 Divide each side by '0.25'. x = -7.5 Simplifying x = -7.5
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