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Simplifying x + 0.50(4x + -7) = 2x + 4 Reorder the terms: x + 0.50(-7 + 4x) = 2x + 4 x + (-7 * 0.50 + 4x * 0.50) = 2x + 4 x + (-3.5 + 2x) = 2x + 4 Reorder the terms: -3.5 + x + 2x = 2x + 4 Combine like terms: x + 2x = 3x -3.5 + 3x = 2x + 4 Reorder the terms: -3.5 + 3x = 4 + 2x Solving -3.5 + 3x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3.5 + 3x + -2x = 4 + 2x + -2x Combine like terms: 3x + -2x = 1x -3.5 + 1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -3.5 + 1x = 4 + 0 -3.5 + 1x = 4 Add '3.5' to each side of the equation. -3.5 + 3.5 + 1x = 4 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 1x = 4 + 3.5 1x = 4 + 3.5 Combine like terms: 4 + 3.5 = 7.5 1x = 7.5 Divide each side by '1'. x = 7.5 Simplifying x = 7.5
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