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Simplifying X + -3(x + -5) + -0.5 = 3(0.25x + 4) Reorder the terms: X + -3(-5 + x) + -0.5 = 3(0.25x + 4) X + (-5 * -3 + x * -3) + -0.5 = 3(0.25x + 4) X + (15 + -3x) + -0.5 = 3(0.25x + 4) Reorder the terms: 15 + -0.5 + X + -3x = 3(0.25x + 4) Combine like terms: 15 + -0.5 = 14.5 14.5 + X + -3x = 3(0.25x + 4) Reorder the terms: 14.5 + X + -3x = 3(4 + 0.25x) 14.5 + X + -3x = (4 * 3 + 0.25x * 3) 14.5 + X + -3x = (12 + 0.75x) Solving 14.5 + X + -3x = 12 + 0.75x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14.5' to each side of the equation. 14.5 + X + -14.5 + -3x = 12 + -14.5 + 0.75x Reorder the terms: 14.5 + -14.5 + X + -3x = 12 + -14.5 + 0.75x Combine like terms: 14.5 + -14.5 = 0.0 0.0 + X + -3x = 12 + -14.5 + 0.75x X + -3x = 12 + -14.5 + 0.75x Combine like terms: 12 + -14.5 = -2.5 X + -3x = -2.5 + 0.75x Add '3x' to each side of the equation. X + -3x + 3x = -2.5 + 0.75x + 3x Combine like terms: -3x + 3x = 0 X + 0 = -2.5 + 0.75x + 3x X = -2.5 + 0.75x + 3x Combine like terms: 0.75x + 3x = 3.75x X = -2.5 + 3.75x Simplifying X = -2.5 + 3.75x
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