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Simplifying 4x + 65 + -2x = 4x + (-40) + 13 + -3x Reorder the terms: 65 + 4x + -2x = 4x + (-40) + 13 + -3x Combine like terms: 4x + -2x = 2x 65 + 2x = 4x + (-40) + 13 + -3x 65 + 2x = 4x + -40 + 13 + -3x Reorder the terms: 65 + 2x = -40 + 13 + 4x + -3x Combine like terms: -40 + 13 = -27 65 + 2x = -27 + 4x + -3x Combine like terms: 4x + -3x = 1x 65 + 2x = -27 + 1x Solving 65 + 2x = -27 + 1x 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. 65 + 2x + -1x = -27 + 1x + -1x Combine like terms: 2x + -1x = 1x 65 + 1x = -27 + 1x + -1x Combine like terms: 1x + -1x = 0 65 + 1x = -27 + 0 65 + 1x = -27 Add '-65' to each side of the equation. 65 + -65 + 1x = -27 + -65 Combine like terms: 65 + -65 = 0 0 + 1x = -27 + -65 1x = -27 + -65 Combine like terms: -27 + -65 = -92 1x = -92 Divide each side by '1'. x = -92 Simplifying x = -92
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