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Simplifying 15x + -2 + 8x = 6(x + -6) Reorder the terms: -2 + 15x + 8x = 6(x + -6) Combine like terms: 15x + 8x = 23x -2 + 23x = 6(x + -6) Reorder the terms: -2 + 23x = 6(-6 + x) -2 + 23x = (-6 * 6 + x * 6) -2 + 23x = (-36 + 6x) Solving -2 + 23x = -36 + 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. -2 + 23x + -6x = -36 + 6x + -6x Combine like terms: 23x + -6x = 17x -2 + 17x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 17x = -36 + 0 -2 + 17x = -36 Add '2' to each side of the equation. -2 + 2 + 17x = -36 + 2 Combine like terms: -2 + 2 = 0 0 + 17x = -36 + 2 17x = -36 + 2 Combine like terms: -36 + 2 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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