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Simplifying 4 + 4(4x + -4) = 8 + -3(2x + 1) Reorder the terms: 4 + 4(-4 + 4x) = 8 + -3(2x + 1) 4 + (-4 * 4 + 4x * 4) = 8 + -3(2x + 1) 4 + (-16 + 16x) = 8 + -3(2x + 1) Combine like terms: 4 + -16 = -12 -12 + 16x = 8 + -3(2x + 1) Reorder the terms: -12 + 16x = 8 + -3(1 + 2x) -12 + 16x = 8 + (1 * -3 + 2x * -3) -12 + 16x = 8 + (-3 + -6x) Combine like terms: 8 + -3 = 5 -12 + 16x = 5 + -6x Solving -12 + 16x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 16x + 6x = 5 + -6x + 6x Combine like terms: 16x + 6x = 22x -12 + 22x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 22x = 5 + 0 -12 + 22x = 5 Add '12' to each side of the equation. -12 + 12 + 22x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 22x = 5 + 12 22x = 5 + 12 Combine like terms: 5 + 12 = 17 22x = 17 Divide each side by '22'. x = 0.7727272727 Simplifying x = 0.7727272727
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