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Simplifying 5x + 4(3x + 4) = 6(4x + -4) Reorder the terms: 5x + 4(4 + 3x) = 6(4x + -4) 5x + (4 * 4 + 3x * 4) = 6(4x + -4) 5x + (16 + 12x) = 6(4x + -4) Reorder the terms: 16 + 5x + 12x = 6(4x + -4) Combine like terms: 5x + 12x = 17x 16 + 17x = 6(4x + -4) Reorder the terms: 16 + 17x = 6(-4 + 4x) 16 + 17x = (-4 * 6 + 4x * 6) 16 + 17x = (-24 + 24x) Solving 16 + 17x = -24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 16 + 17x + -24x = -24 + 24x + -24x Combine like terms: 17x + -24x = -7x 16 + -7x = -24 + 24x + -24x Combine like terms: 24x + -24x = 0 16 + -7x = -24 + 0 16 + -7x = -24 Add '-16' to each side of the equation. 16 + -16 + -7x = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = -24 + -16 -7x = -24 + -16 Combine like terms: -24 + -16 = -40 -7x = -40 Divide each side by '-7'. x = 5.714285714 Simplifying x = 5.714285714
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