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Simplifying 2(3x + 4) + -2x = -4(x + 4) Reorder the terms: 2(4 + 3x) + -2x = -4(x + 4) (4 * 2 + 3x * 2) + -2x = -4(x + 4) (8 + 6x) + -2x = -4(x + 4) Combine like terms: 6x + -2x = 4x 8 + 4x = -4(x + 4) Reorder the terms: 8 + 4x = -4(4 + x) 8 + 4x = (4 * -4 + x * -4) 8 + 4x = (-16 + -4x) Solving 8 + 4x = -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. 8 + 4x + 4x = -16 + -4x + 4x Combine like terms: 4x + 4x = 8x 8 + 8x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 8x = -16 + 0 8 + 8x = -16 Add '-8' to each side of the equation. 8 + -8 + 8x = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = -16 + -8 8x = -16 + -8 Combine like terms: -16 + -8 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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