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Simplifying 5x + 4(3x + -8) = 4 + 13x Reorder the terms: 5x + 4(-8 + 3x) = 4 + 13x 5x + (-8 * 4 + 3x * 4) = 4 + 13x 5x + (-32 + 12x) = 4 + 13x Reorder the terms: -32 + 5x + 12x = 4 + 13x Combine like terms: 5x + 12x = 17x -32 + 17x = 4 + 13x Solving -32 + 17x = 4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -32 + 17x + -13x = 4 + 13x + -13x Combine like terms: 17x + -13x = 4x -32 + 4x = 4 + 13x + -13x Combine like terms: 13x + -13x = 0 -32 + 4x = 4 + 0 -32 + 4x = 4 Add '32' to each side of the equation. -32 + 32 + 4x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = 4 + 32 4x = 4 + 32 Combine like terms: 4 + 32 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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