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Simplifying 3x = 0.5(2x + -4) + -1.25(x + 4) Reorder the terms: 3x = 0.5(-4 + 2x) + -1.25(x + 4) 3x = (-4 * 0.5 + 2x * 0.5) + -1.25(x + 4) 3x = (-2 + 1x) + -1.25(x + 4) Reorder the terms: 3x = -2 + 1x + -1.25(4 + x) 3x = -2 + 1x + (4 * -1.25 + x * -1.25) 3x = -2 + 1x + (-5 + -1.25x) Reorder the terms: 3x = -2 + -5 + 1x + -1.25x Combine like terms: -2 + -5 = -7 3x = -7 + 1x + -1.25x Combine like terms: 1x + -1.25x = -0.25x 3x = -7 + -0.25x Solving 3x = -7 + -0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.25x' to each side of the equation. 3x + 0.25x = -7 + -0.25x + 0.25x Combine like terms: 3x + 0.25x = 3.25x 3.25x = -7 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 3.25x = -7 + 0.00 3.25x = -7 Divide each side by '3.25'. x = -2.153846154 Simplifying x = -2.153846154
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