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Simplifying 5x + 5 + 2x + -1x + 7 = 5x + -4 Reorder the terms: 5 + 7 + 5x + 2x + -1x = 5x + -4 Combine like terms: 5 + 7 = 12 12 + 5x + 2x + -1x = 5x + -4 Combine like terms: 5x + 2x = 7x 12 + 7x + -1x = 5x + -4 Combine like terms: 7x + -1x = 6x 12 + 6x = 5x + -4 Reorder the terms: 12 + 6x = -4 + 5x Solving 12 + 6x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 6x + -5x = -4 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = -4 + 0 12 + 1x = -4 Add '-12' to each side of the equation. 12 + -12 + 1x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -4 + -12 1x = -4 + -12 Combine like terms: -4 + -12 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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