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Simplifying 4 + -3x + 7 + 4 = 8x + -12 + -5x + 15 Reorder the terms: 4 + 7 + 4 + -3x = 8x + -12 + -5x + 15 Combine like terms: 4 + 7 = 11 11 + 4 + -3x = 8x + -12 + -5x + 15 Combine like terms: 11 + 4 = 15 15 + -3x = 8x + -12 + -5x + 15 Reorder the terms: 15 + -3x = -12 + 15 + 8x + -5x Combine like terms: -12 + 15 = 3 15 + -3x = 3 + 8x + -5x Combine like terms: 8x + -5x = 3x 15 + -3x = 3 + 3x Solving 15 + -3x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + -3x + -3x = 3 + 3x + -3x Combine like terms: -3x + -3x = -6x 15 + -6x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -6x = 3 + 0 15 + -6x = 3 Add '-15' to each side of the equation. 15 + -15 + -6x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = 3 + -15 -6x = 3 + -15 Combine like terms: 3 + -15 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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