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Simplifying -8(x + 1) + 8x = 2(11 + 3x) Reorder the terms: -8(1 + x) + 8x = 2(11 + 3x) (1 * -8 + x * -8) + 8x = 2(11 + 3x) (-8 + -8x) + 8x = 2(11 + 3x) Combine like terms: -8x + 8x = 0 -8 + 0 = 2(11 + 3x) -8 = 2(11 + 3x) -8 = (11 * 2 + 3x * 2) -8 = (22 + 6x) Solving -8 = 22 + 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. -8 + -6x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -6x = 22 + 0 -8 + -6x = 22 Add '8' to each side of the equation. -8 + 8 + -6x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 22 + 8 -6x = 22 + 8 Combine like terms: 22 + 8 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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