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Simplifying 2(-3x + 11) + 12x = -5x + 8(x + -4) Reorder the terms: 2(11 + -3x) + 12x = -5x + 8(x + -4) (11 * 2 + -3x * 2) + 12x = -5x + 8(x + -4) (22 + -6x) + 12x = -5x + 8(x + -4) Combine like terms: -6x + 12x = 6x 22 + 6x = -5x + 8(x + -4) Reorder the terms: 22 + 6x = -5x + 8(-4 + x) 22 + 6x = -5x + (-4 * 8 + x * 8) 22 + 6x = -5x + (-32 + 8x) Reorder the terms: 22 + 6x = -32 + -5x + 8x Combine like terms: -5x + 8x = 3x 22 + 6x = -32 + 3x Solving 22 + 6x = -32 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 22 + 6x + -3x = -32 + 3x + -3x Combine like terms: 6x + -3x = 3x 22 + 3x = -32 + 3x + -3x Combine like terms: 3x + -3x = 0 22 + 3x = -32 + 0 22 + 3x = -32 Add '-22' to each side of the equation. 22 + -22 + 3x = -32 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = -32 + -22 3x = -32 + -22 Combine like terms: -32 + -22 = -54 3x = -54 Divide each side by '3'. x = -18 Simplifying x = -18
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