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Simplifying 2(8x + 8) + -6(x + 3) = x + 5 + 11x + -9 Reorder the terms: 2(8 + 8x) + -6(x + 3) = x + 5 + 11x + -9 (8 * 2 + 8x * 2) + -6(x + 3) = x + 5 + 11x + -9 (16 + 16x) + -6(x + 3) = x + 5 + 11x + -9 Reorder the terms: 16 + 16x + -6(3 + x) = x + 5 + 11x + -9 16 + 16x + (3 * -6 + x * -6) = x + 5 + 11x + -9 16 + 16x + (-18 + -6x) = x + 5 + 11x + -9 Reorder the terms: 16 + -18 + 16x + -6x = x + 5 + 11x + -9 Combine like terms: 16 + -18 = -2 -2 + 16x + -6x = x + 5 + 11x + -9 Combine like terms: 16x + -6x = 10x -2 + 10x = x + 5 + 11x + -9 Reorder the terms: -2 + 10x = 5 + -9 + x + 11x Combine like terms: 5 + -9 = -4 -2 + 10x = -4 + x + 11x Combine like terms: x + 11x = 12x -2 + 10x = -4 + 12x Solving -2 + 10x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 10x + -12x = -4 + 12x + -12x Combine like terms: 10x + -12x = -2x -2 + -2x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -2x = -4 + 0 -2 + -2x = -4 Add '2' to each side of the equation. -2 + 2 + -2x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -4 + 2 -2x = -4 + 2 Combine like terms: -4 + 2 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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