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Simplifying 7 + 4(4x + -4) = 7 + -4(2x + 2) Reorder the terms: 7 + 4(-4 + 4x) = 7 + -4(2x + 2) 7 + (-4 * 4 + 4x * 4) = 7 + -4(2x + 2) 7 + (-16 + 16x) = 7 + -4(2x + 2) Combine like terms: 7 + -16 = -9 -9 + 16x = 7 + -4(2x + 2) Reorder the terms: -9 + 16x = 7 + -4(2 + 2x) -9 + 16x = 7 + (2 * -4 + 2x * -4) -9 + 16x = 7 + (-8 + -8x) Combine like terms: 7 + -8 = -1 -9 + 16x = -1 + -8x Solving -9 + 16x = -1 + -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 = -1 + -8x + 8x Combine like terms: 16x + 8x = 24x -9 + 24x = -1 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 24x = -1 + 0 -9 + 24x = -1 Add '9' to each side of the equation. -9 + 9 + 24x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 24x = -1 + 9 24x = -1 + 9 Combine like terms: -1 + 9 = 8 24x = 8 Divide each side by '24'. x = 0.3333333333 Simplifying x = 0.3333333333
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