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Simplifying 5 + 5x + 1 + -3x = -4 + 6x + 5 + -5x Reorder the terms: 5 + 1 + 5x + -3x = -4 + 6x + 5 + -5x Combine like terms: 5 + 1 = 6 6 + 5x + -3x = -4 + 6x + 5 + -5x Combine like terms: 5x + -3x = 2x 6 + 2x = -4 + 6x + 5 + -5x Reorder the terms: 6 + 2x = -4 + 5 + 6x + -5x Combine like terms: -4 + 5 = 1 6 + 2x = 1 + 6x + -5x Combine like terms: 6x + -5x = 1x 6 + 2x = 1 + 1x Solving 6 + 2x = 1 + 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. 6 + 2x + -1x = 1 + 1x + -1x Combine like terms: 2x + -1x = 1x 6 + 1x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + 1x = 1 + 0 6 + 1x = 1 Add '-6' to each side of the equation. 6 + -6 + 1x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 1 + -6 1x = 1 + -6 Combine like terms: 1 + -6 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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