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Simplifying -5x + 5 + 3x + 7 = 5x + -6 + x + 12 Reorder the terms: 5 + 7 + -5x + 3x = 5x + -6 + x + 12 Combine like terms: 5 + 7 = 12 12 + -5x + 3x = 5x + -6 + x + 12 Combine like terms: -5x + 3x = -2x 12 + -2x = 5x + -6 + x + 12 Reorder the terms: 12 + -2x = -6 + 12 + 5x + x Combine like terms: -6 + 12 = 6 12 + -2x = 6 + 5x + x Combine like terms: 5x + x = 6x 12 + -2x = 6 + 6x Solving 12 + -2x = 6 + 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. 12 + -2x + -6x = 6 + 6x + -6x Combine like terms: -2x + -6x = -8x 12 + -8x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -8x = 6 + 0 12 + -8x = 6 Add '-12' to each side of the equation. 12 + -12 + -8x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 6 + -12 -8x = 6 + -12 Combine like terms: 6 + -12 = -6 -8x = -6 Divide each side by '-8'. x = 0.75 Simplifying x = 0.75
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