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Simplifying 3x + 4 + -5x = 6x + -4 Reorder the terms: 4 + 3x + -5x = 6x + -4 Combine like terms: 3x + -5x = -2x 4 + -2x = 6x + -4 Reorder the terms: 4 + -2x = -4 + 6x Solving 4 + -2x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + -2x + -6x = -4 + 6x + -6x Combine like terms: -2x + -6x = -8x 4 + -8x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -8x = -4 + 0 4 + -8x = -4 Add '-4' to each side of the equation. 4 + -4 + -8x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = -4 + -4 -8x = -4 + -4 Combine like terms: -4 + -4 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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