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Simplifying 7 + 4(4x + -4) = 9 + -4(2x + 1) Reorder the terms: 7 + 4(-4 + 4x) = 9 + -4(2x + 1) 7 + (-4 * 4 + 4x * 4) = 9 + -4(2x + 1) 7 + (-16 + 16x) = 9 + -4(2x + 1) Combine like terms: 7 + -16 = -9 -9 + 16x = 9 + -4(2x + 1) Reorder the terms: -9 + 16x = 9 + -4(1 + 2x) -9 + 16x = 9 + (1 * -4 + 2x * -4) -9 + 16x = 9 + (-4 + -8x) Combine like terms: 9 + -4 = 5 -9 + 16x = 5 + -8x Solving -9 + 16x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9 + 16x + 8x = 5 + -8x + 8x Combine like terms: 16x + 8x = 24x -9 + 24x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 24x = 5 + 0 -9 + 24x = 5 Add '9' to each side of the equation. -9 + 9 + 24x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 24x = 5 + 9 24x = 5 + 9 Combine like terms: 5 + 9 = 14 24x = 14 Divide each side by '24'. x = 0.5833333333 Simplifying x = 0.5833333333
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