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Simplifying 6(2 + -4x) + 10x = -8 + 12 + -6x (2 * 6 + -4x * 6) + 10x = -8 + 12 + -6x (12 + -24x) + 10x = -8 + 12 + -6x Combine like terms: -24x + 10x = -14x 12 + -14x = -8 + 12 + -6x Combine like terms: -8 + 12 = 4 12 + -14x = 4 + -6x Solving 12 + -14x = 4 + -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. 12 + -14x + 6x = 4 + -6x + 6x Combine like terms: -14x + 6x = -8x 12 + -8x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + -8x = 4 + 0 12 + -8x = 4 Add '-12' to each side of the equation. 12 + -12 + -8x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 4 + -12 -8x = 4 + -12 Combine like terms: 4 + -12 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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