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Simplifying 2(4x + 4) = 5x + -4(4x + 6) Reorder the terms: 2(4 + 4x) = 5x + -4(4x + 6) (4 * 2 + 4x * 2) = 5x + -4(4x + 6) (8 + 8x) = 5x + -4(4x + 6) Reorder the terms: 8 + 8x = 5x + -4(6 + 4x) 8 + 8x = 5x + (6 * -4 + 4x * -4) 8 + 8x = 5x + (-24 + -16x) Reorder the terms: 8 + 8x = -24 + 5x + -16x Combine like terms: 5x + -16x = -11x 8 + 8x = -24 + -11x Solving 8 + 8x = -24 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 8 + 8x + 11x = -24 + -11x + 11x Combine like terms: 8x + 11x = 19x 8 + 19x = -24 + -11x + 11x Combine like terms: -11x + 11x = 0 8 + 19x = -24 + 0 8 + 19x = -24 Add '-8' to each side of the equation. 8 + -8 + 19x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 19x = -24 + -8 19x = -24 + -8 Combine like terms: -24 + -8 = -32 19x = -32 Divide each side by '19'. x = -1.684210526 Simplifying x = -1.684210526
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