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Simplifying -5(x + -1) + 2(8 + 6x) = 6x + 4x Reorder the terms: -5(-1 + x) + 2(8 + 6x) = 6x + 4x (-1 * -5 + x * -5) + 2(8 + 6x) = 6x + 4x (5 + -5x) + 2(8 + 6x) = 6x + 4x 5 + -5x + (8 * 2 + 6x * 2) = 6x + 4x 5 + -5x + (16 + 12x) = 6x + 4x Reorder the terms: 5 + 16 + -5x + 12x = 6x + 4x Combine like terms: 5 + 16 = 21 21 + -5x + 12x = 6x + 4x Combine like terms: -5x + 12x = 7x 21 + 7x = 6x + 4x Combine like terms: 6x + 4x = 10x 21 + 7x = 10x Solving 21 + 7x = 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. 21 + 7x + -10x = 10x + -10x Combine like terms: 7x + -10x = -3x 21 + -3x = 10x + -10x Combine like terms: 10x + -10x = 0 21 + -3x = 0 Add '-21' to each side of the equation. 21 + -21 + -3x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 0 + -21 -3x = 0 + -21 Combine like terms: 0 + -21 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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