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Simplifying 1506 + -2x = 3x + 647 + -1x Reorder the terms: 1506 + -2x = 647 + 3x + -1x Combine like terms: 3x + -1x = 2x 1506 + -2x = 647 + 2x Solving 1506 + -2x = 647 + 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. 1506 + -2x + -2x = 647 + 2x + -2x Combine like terms: -2x + -2x = -4x 1506 + -4x = 647 + 2x + -2x Combine like terms: 2x + -2x = 0 1506 + -4x = 647 + 0 1506 + -4x = 647 Add '-1506' to each side of the equation. 1506 + -1506 + -4x = 647 + -1506 Combine like terms: 1506 + -1506 = 0 0 + -4x = 647 + -1506 -4x = 647 + -1506 Combine like terms: 647 + -1506 = -859 -4x = -859 Divide each side by '-4'. x = 214.75 Simplifying x = 214.75
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