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