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Simplifying 3x + -7x + -8 + -10 = 6x + 12 Reorder the terms: -8 + -10 + 3x + -7x = 6x + 12 Combine like terms: -8 + -10 = -18 -18 + 3x + -7x = 6x + 12 Combine like terms: 3x + -7x = -4x -18 + -4x = 6x + 12 Reorder the terms: -18 + -4x = 12 + 6x Solving -18 + -4x = 12 + 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. -18 + -4x + -6x = 12 + 6x + -6x Combine like terms: -4x + -6x = -10x -18 + -10x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -10x = 12 + 0 -18 + -10x = 12 Add '18' to each side of the equation. -18 + 18 + -10x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -10x = 12 + 18 -10x = 12 + 18 Combine like terms: 12 + 18 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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