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Simplifying 0.75 + 2(x + -5) = 3x + -0.5 Reorder the terms: 0.75 + 2(-5 + x) = 3x + -0.5 0.75 + (-5 * 2 + x * 2) = 3x + -0.5 0.75 + (-10 + 2x) = 3x + -0.5 Combine like terms: 0.75 + -10 = -9.25 -9.25 + 2x = 3x + -0.5 Reorder the terms: -9.25 + 2x = -0.5 + 3x Solving -9.25 + 2x = -0.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9.25 + 2x + -3x = -0.5 + 3x + -3x Combine like terms: 2x + -3x = -1x -9.25 + -1x = -0.5 + 3x + -3x Combine like terms: 3x + -3x = 0 -9.25 + -1x = -0.5 + 0 -9.25 + -1x = -0.5 Add '9.25' to each side of the equation. -9.25 + 9.25 + -1x = -0.5 + 9.25 Combine like terms: -9.25 + 9.25 = 0.00 0.00 + -1x = -0.5 + 9.25 -1x = -0.5 + 9.25 Combine like terms: -0.5 + 9.25 = 8.75 -1x = 8.75 Divide each side by '-1'. x = -8.75 Simplifying x = -8.75
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