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Simplifying 5x + 5 = 3x + -7 + 3x Reorder the terms: 5 + 5x = 3x + -7 + 3x Reorder the terms: 5 + 5x = -7 + 3x + 3x Combine like terms: 3x + 3x = 6x 5 + 5x = -7 + 6x Solving 5 + 5x = -7 + 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. 5 + 5x + -6x = -7 + 6x + -6x Combine like terms: 5x + -6x = -1x 5 + -1x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -1x = -7 + 0 5 + -1x = -7 Add '-5' to each side of the equation. 5 + -5 + -1x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -7 + -5 -1x = -7 + -5 Combine like terms: -7 + -5 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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