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Simplifying 6(x + -5) + 6 = 6(7 + -1x) Reorder the terms: 6(-5 + x) + 6 = 6(7 + -1x) (-5 * 6 + x * 6) + 6 = 6(7 + -1x) (-30 + 6x) + 6 = 6(7 + -1x) Reorder the terms: -30 + 6 + 6x = 6(7 + -1x) Combine like terms: -30 + 6 = -24 -24 + 6x = 6(7 + -1x) -24 + 6x = (7 * 6 + -1x * 6) -24 + 6x = (42 + -6x) Solving -24 + 6x = 42 + -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. -24 + 6x + 6x = 42 + -6x + 6x Combine like terms: 6x + 6x = 12x -24 + 12x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 12x = 42 + 0 -24 + 12x = 42 Add '24' to each side of the equation. -24 + 24 + 12x = 42 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 42 + 24 12x = 42 + 24 Combine like terms: 42 + 24 = 66 12x = 66 Divide each side by '12'. x = 5.5 Simplifying x = 5.5
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