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Simplifying 0.25[2.5x + 1.5(x + -4)] = -1x Reorder the terms: 0.25[2.5x + 1.5(-4 + x)] = -1x 0.25[2.5x + (-4 * 1.5 + x * 1.5)] = -1x 0.25[2.5x + (-6 + 1.5x)] = -1x Reorder the terms: 0.25[-6 + 2.5x + 1.5x] = -1x Combine like terms: 2.5x + 1.5x = 4x 0.25[-6 + 4x] = -1x [-6 * 0.25 + 4x * 0.25] = -1x [-1.5 + 1x] = -1x Solving -1.5 + 1x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1.5 + 1x + x = -1x + x Combine like terms: 1x + x = 2x -1.5 + 2x = -1x + x Combine like terms: -1x + x = 0 -1.5 + 2x = 0 Add '1.5' to each side of the equation. -1.5 + 1.5 + 2x = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 2x = 0 + 1.5 2x = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 2x = 1.5 Divide each side by '2'. x = 0.75 Simplifying x = 0.75
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