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Simplifying 2(0.25x + -3) + x = 4(0.2x + -0.5) Reorder the terms: 2(-3 + 0.25x) + x = 4(0.2x + -0.5) (-3 * 2 + 0.25x * 2) + x = 4(0.2x + -0.5) (-6 + 0.5x) + x = 4(0.2x + -0.5) Combine like terms: 0.5x + x = 1.5x -6 + 1.5x = 4(0.2x + -0.5) Reorder the terms: -6 + 1.5x = 4(-0.5 + 0.2x) -6 + 1.5x = (-0.5 * 4 + 0.2x * 4) -6 + 1.5x = (-2 + 0.8x) Solving -6 + 1.5x = -2 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -6 + 1.5x + -0.8x = -2 + 0.8x + -0.8x Combine like terms: 1.5x + -0.8x = 0.7x -6 + 0.7x = -2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -6 + 0.7x = -2 + 0.0 -6 + 0.7x = -2 Add '6' to each side of the equation. -6 + 6 + 0.7x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 0.7x = -2 + 6 0.7x = -2 + 6 Combine like terms: -2 + 6 = 4 0.7x = 4 Divide each side by '0.7'. x = 5.714285714 Simplifying x = 5.714285714
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