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Simplifying 6x + -3(4x + -6) + -8 = 12(-2 + -1x) + 10x Reorder the terms: 6x + -3(-6 + 4x) + -8 = 12(-2 + -1x) + 10x 6x + (-6 * -3 + 4x * -3) + -8 = 12(-2 + -1x) + 10x 6x + (18 + -12x) + -8 = 12(-2 + -1x) + 10x Reorder the terms: 18 + -8 + 6x + -12x = 12(-2 + -1x) + 10x Combine like terms: 18 + -8 = 10 10 + 6x + -12x = 12(-2 + -1x) + 10x Combine like terms: 6x + -12x = -6x 10 + -6x = 12(-2 + -1x) + 10x 10 + -6x = (-2 * 12 + -1x * 12) + 10x 10 + -6x = (-24 + -12x) + 10x Combine like terms: -12x + 10x = -2x 10 + -6x = -24 + -2x Solving 10 + -6x = -24 + -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. 10 + -6x + 2x = -24 + -2x + 2x Combine like terms: -6x + 2x = -4x 10 + -4x = -24 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + -4x = -24 + 0 10 + -4x = -24 Add '-10' to each side of the equation. 10 + -10 + -4x = -24 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -24 + -10 -4x = -24 + -10 Combine like terms: -24 + -10 = -34 -4x = -34 Divide each side by '-4'. x = 8.5 Simplifying x = 8.5
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