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Simplifying 7x + -5 + 3x + 8 = 4x + 6 + -6x + -15 Reorder the terms: -5 + 8 + 7x + 3x = 4x + 6 + -6x + -15 Combine like terms: -5 + 8 = 3 3 + 7x + 3x = 4x + 6 + -6x + -15 Combine like terms: 7x + 3x = 10x 3 + 10x = 4x + 6 + -6x + -15 Reorder the terms: 3 + 10x = 6 + -15 + 4x + -6x Combine like terms: 6 + -15 = -9 3 + 10x = -9 + 4x + -6x Combine like terms: 4x + -6x = -2x 3 + 10x = -9 + -2x Solving 3 + 10x = -9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 10x + 2x = -9 + -2x + 2x Combine like terms: 10x + 2x = 12x 3 + 12x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 12x = -9 + 0 3 + 12x = -9 Add '-3' to each side of the equation. 3 + -3 + 12x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = -9 + -3 12x = -9 + -3 Combine like terms: -9 + -3 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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