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Simplifying 6 + -6x + 10x = -2(-6x + 5) Combine like terms: -6x + 10x = 4x 6 + 4x = -2(-6x + 5) Reorder the terms: 6 + 4x = -2(5 + -6x) 6 + 4x = (5 * -2 + -6x * -2) 6 + 4x = (-10 + 12x) Solving 6 + 4x = -10 + 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 = -10 + 12x + -12x Combine like terms: 4x + -12x = -8x 6 + -8x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -8x = -10 + 0 6 + -8x = -10 Add '-6' to each side of the equation. 6 + -6 + -8x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -10 + -6 -8x = -10 + -6 Combine like terms: -10 + -6 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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