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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 = -15.5 -15.5 + x + -3x = 3(0.25x + 4) Combine like terms: x + -3x = -2x -15.5 + -2x = 3(0.25x + 4) Reorder the terms: -15.5 + -2x = 3(4 + 0.25x) -15.5 + -2x = (4 * 3 + 0.25x * 3) -15.5 + -2x = (12 + 0.75x) Solving -15.5 + -2x = 12 + 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. -15.5 + -2x + -0.75x = 12 + 0.75x + -0.75x Combine like terms: -2x + -0.75x = -2.75x -15.5 + -2.75x = 12 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -15.5 + -2.75x = 12 + 0.00 -15.5 + -2.75x = 12 Add '15.5' to each side of the equation. -15.5 + 15.5 + -2.75x = 12 + 15.5 Combine like terms: -15.5 + 15.5 = 0.0 0.0 + -2.75x = 12 + 15.5 -2.75x = 12 + 15.5 Combine like terms: 12 + 15.5 = 27.5 -2.75x = 27.5 Divide each side by '-2.75'. x = -10 Simplifying x = -10
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