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Simplifying 6 + 6(12 + -1x) = 4(x + -1) + -1 6 + (12 * 6 + -1x * 6) = 4(x + -1) + -1 6 + (72 + -6x) = 4(x + -1) + -1 Combine like terms: 6 + 72 = 78 78 + -6x = 4(x + -1) + -1 Reorder the terms: 78 + -6x = 4(-1 + x) + -1 78 + -6x = (-1 * 4 + x * 4) + -1 78 + -6x = (-4 + 4x) + -1 Reorder the terms: 78 + -6x = -4 + -1 + 4x Combine like terms: -4 + -1 = -5 78 + -6x = -5 + 4x Solving 78 + -6x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 78 + -6x + -4x = -5 + 4x + -4x Combine like terms: -6x + -4x = -10x 78 + -10x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 78 + -10x = -5 + 0 78 + -10x = -5 Add '-78' to each side of the equation. 78 + -78 + -10x = -5 + -78 Combine like terms: 78 + -78 = 0 0 + -10x = -5 + -78 -10x = -5 + -78 Combine like terms: -5 + -78 = -83 -10x = -83 Divide each side by '-10'. x = 8.3 Simplifying x = 8.3
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