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Simplifying -6(3x + 7) + 6(x + 2) = 5x + 8 + -4 Reorder the terms: -6(7 + 3x) + 6(x + 2) = 5x + 8 + -4 (7 * -6 + 3x * -6) + 6(x + 2) = 5x + 8 + -4 (-42 + -18x) + 6(x + 2) = 5x + 8 + -4 Reorder the terms: -42 + -18x + 6(2 + x) = 5x + 8 + -4 -42 + -18x + (2 * 6 + x * 6) = 5x + 8 + -4 -42 + -18x + (12 + 6x) = 5x + 8 + -4 Reorder the terms: -42 + 12 + -18x + 6x = 5x + 8 + -4 Combine like terms: -42 + 12 = -30 -30 + -18x + 6x = 5x + 8 + -4 Combine like terms: -18x + 6x = -12x -30 + -12x = 5x + 8 + -4 Reorder the terms: -30 + -12x = 8 + -4 + 5x Combine like terms: 8 + -4 = 4 -30 + -12x = 4 + 5x Solving -30 + -12x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -30 + -12x + -5x = 4 + 5x + -5x Combine like terms: -12x + -5x = -17x -30 + -17x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + -17x = 4 + 0 -30 + -17x = 4 Add '30' to each side of the equation. -30 + 30 + -17x = 4 + 30 Combine like terms: -30 + 30 = 0 0 + -17x = 4 + 30 -17x = 4 + 30 Combine like terms: 4 + 30 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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