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Simplifying 6 + -2(3x + 1) = 8x + 2x + -12 Reorder the terms: 6 + -2(1 + 3x) = 8x + 2x + -12 6 + (1 * -2 + 3x * -2) = 8x + 2x + -12 6 + (-2 + -6x) = 8x + 2x + -12 Combine like terms: 6 + -2 = 4 4 + -6x = 8x + 2x + -12 Reorder the terms: 4 + -6x = -12 + 8x + 2x Combine like terms: 8x + 2x = 10x 4 + -6x = -12 + 10x Solving 4 + -6x = -12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + -6x + -10x = -12 + 10x + -10x Combine like terms: -6x + -10x = -16x 4 + -16x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -16x = -12 + 0 4 + -16x = -12 Add '-4' to each side of the equation. 4 + -4 + -16x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -16x = -12 + -4 -16x = -12 + -4 Combine like terms: -12 + -4 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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