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Simplifying 1506 + -2x = 3x + -646 + -1x Reorder the terms: 1506 + -2x = -646 + 3x + -1x Combine like terms: 3x + -1x = 2x 1506 + -2x = -646 + 2x Solving 1506 + -2x = -646 + 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 = -646 + 2x + -2x Combine like terms: -2x + -2x = -4x 1506 + -4x = -646 + 2x + -2x Combine like terms: 2x + -2x = 0 1506 + -4x = -646 + 0 1506 + -4x = -646 Add '-1506' to each side of the equation. 1506 + -1506 + -4x = -646 + -1506 Combine like terms: 1506 + -1506 = 0 0 + -4x = -646 + -1506 -4x = -646 + -1506 Combine like terms: -646 + -1506 = -2152 -4x = -2152 Divide each side by '-4'. x = 538 Simplifying x = 538
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