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Simplifying 13 + -10x + -18 + 6x = 15 + -8x + 12 Reorder the terms: 13 + -18 + -10x + 6x = 15 + -8x + 12 Combine like terms: 13 + -18 = -5 -5 + -10x + 6x = 15 + -8x + 12 Combine like terms: -10x + 6x = -4x -5 + -4x = 15 + -8x + 12 Reorder the terms: -5 + -4x = 15 + 12 + -8x Combine like terms: 15 + 12 = 27 -5 + -4x = 27 + -8x Solving -5 + -4x = 27 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -5 + -4x + 8x = 27 + -8x + 8x Combine like terms: -4x + 8x = 4x -5 + 4x = 27 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 4x = 27 + 0 -5 + 4x = 27 Add '5' to each side of the equation. -5 + 5 + 4x = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 27 + 5 4x = 27 + 5 Combine like terms: 27 + 5 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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