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Simplifying 4(x + 3) = 8(8 + 5x + -4) Reorder the terms: 4(3 + x) = 8(8 + 5x + -4) (3 * 4 + x * 4) = 8(8 + 5x + -4) (12 + 4x) = 8(8 + 5x + -4) Reorder the terms: 12 + 4x = 8(8 + -4 + 5x) Combine like terms: 8 + -4 = 4 12 + 4x = 8(4 + 5x) 12 + 4x = (4 * 8 + 5x * 8) 12 + 4x = (32 + 40x) Solving 12 + 4x = 32 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 12 + 4x + -40x = 32 + 40x + -40x Combine like terms: 4x + -40x = -36x 12 + -36x = 32 + 40x + -40x Combine like terms: 40x + -40x = 0 12 + -36x = 32 + 0 12 + -36x = 32 Add '-12' to each side of the equation. 12 + -12 + -36x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -36x = 32 + -12 -36x = 32 + -12 Combine like terms: 32 + -12 = 20 -36x = 20 Divide each side by '-36'. x = -0.5555555556 Simplifying x = -0.5555555556
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