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Simplifying 8x + -12(x + -3) = 12x + 6(-1x + 1) Reorder the terms: 8x + -12(-3 + x) = 12x + 6(-1x + 1) 8x + (-3 * -12 + x * -12) = 12x + 6(-1x + 1) 8x + (36 + -12x) = 12x + 6(-1x + 1) Reorder the terms: 36 + 8x + -12x = 12x + 6(-1x + 1) Combine like terms: 8x + -12x = -4x 36 + -4x = 12x + 6(-1x + 1) Reorder the terms: 36 + -4x = 12x + 6(1 + -1x) 36 + -4x = 12x + (1 * 6 + -1x * 6) 36 + -4x = 12x + (6 + -6x) Reorder the terms: 36 + -4x = 6 + 12x + -6x Combine like terms: 12x + -6x = 6x 36 + -4x = 6 + 6x Solving 36 + -4x = 6 + 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. 36 + -4x + -6x = 6 + 6x + -6x Combine like terms: -4x + -6x = -10x 36 + -10x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -10x = 6 + 0 36 + -10x = 6 Add '-36' to each side of the equation. 36 + -36 + -10x = 6 + -36 Combine like terms: 36 + -36 = 0 0 + -10x = 6 + -36 -10x = 6 + -36 Combine like terms: 6 + -36 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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