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Simplifying 2(3x + 4) + -2 = 8x + -4(x + 4) Reorder the terms: 2(4 + 3x) + -2 = 8x + -4(x + 4) (4 * 2 + 3x * 2) + -2 = 8x + -4(x + 4) (8 + 6x) + -2 = 8x + -4(x + 4) Reorder the terms: 8 + -2 + 6x = 8x + -4(x + 4) Combine like terms: 8 + -2 = 6 6 + 6x = 8x + -4(x + 4) Reorder the terms: 6 + 6x = 8x + -4(4 + x) 6 + 6x = 8x + (4 * -4 + x * -4) 6 + 6x = 8x + (-16 + -4x) Reorder the terms: 6 + 6x = -16 + 8x + -4x Combine like terms: 8x + -4x = 4x 6 + 6x = -16 + 4x Solving 6 + 6x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 6x + -4x = -16 + 4x + -4x Combine like terms: 6x + -4x = 2x 6 + 2x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 2x = -16 + 0 6 + 2x = -16 Add '-6' to each side of the equation. 6 + -6 + 2x = -16 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -16 + -6 2x = -16 + -6 Combine like terms: -16 + -6 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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