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Simplifying (2x + -4 + x + -3) * 0.5 = x Reorder the terms: (-4 + -3 + 2x + x) * 0.5 = x Combine like terms: -4 + -3 = -7 (-7 + 2x + x) * 0.5 = x Combine like terms: 2x + x = 3x (-7 + 3x) * 0.5 = x Reorder the terms for easier multiplication: 0.5(-7 + 3x) = x (-7 * 0.5 + 3x * 0.5) = x (-3.5 + 1.5x) = x Solving -3.5 + 1.5x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3.5 + 1.5x + -1x = x + -1x Combine like terms: 1.5x + -1x = 0.5x -3.5 + 0.5x = x + -1x Combine like terms: x + -1x = 0 -3.5 + 0.5x = 0 Add '3.5' to each side of the equation. -3.5 + 3.5 + 0.5x = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 0.5x = 0 + 3.5 0.5x = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 0.5x = 3.5 Divide each side by '0.5'. x = 7 Simplifying x = 7
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