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Simplifying 8x + 6 + -9x = 2 + -2x + -15 Reorder the terms: 6 + 8x + -9x = 2 + -2x + -15 Combine like terms: 8x + -9x = -1x 6 + -1x = 2 + -2x + -15 Reorder the terms: 6 + -1x = 2 + -15 + -2x Combine like terms: 2 + -15 = -13 6 + -1x = -13 + -2x Solving 6 + -1x = -13 + -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. 6 + -1x + 2x = -13 + -2x + 2x Combine like terms: -1x + 2x = 1x 6 + 1x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 1x = -13 + 0 6 + 1x = -13 Add '-6' to each side of the equation. 6 + -6 + 1x = -13 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -13 + -6 1x = -13 + -6 Combine like terms: -13 + -6 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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