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Simplifying 6x + -2(x + 3) = 11 + -8(x + 1) Reorder the terms: 6x + -2(3 + x) = 11 + -8(x + 1) 6x + (3 * -2 + x * -2) = 11 + -8(x + 1) 6x + (-6 + -2x) = 11 + -8(x + 1) Reorder the terms: -6 + 6x + -2x = 11 + -8(x + 1) Combine like terms: 6x + -2x = 4x -6 + 4x = 11 + -8(x + 1) Reorder the terms: -6 + 4x = 11 + -8(1 + x) -6 + 4x = 11 + (1 * -8 + x * -8) -6 + 4x = 11 + (-8 + -8x) Combine like terms: 11 + -8 = 3 -6 + 4x = 3 + -8x Solving -6 + 4x = 3 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + 4x + 8x = 3 + -8x + 8x Combine like terms: 4x + 8x = 12x -6 + 12x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 12x = 3 + 0 -6 + 12x = 3 Add '6' to each side of the equation. -6 + 6 + 12x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 3 + 6 12x = 3 + 6 Combine like terms: 3 + 6 = 9 12x = 9 Divide each side by '12'. x = 0.75 Simplifying x = 0.75
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