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Simplifying 4(2x + 4) = 5(3x + -1) Reorder the terms: 4(4 + 2x) = 5(3x + -1) (4 * 4 + 2x * 4) = 5(3x + -1) (16 + 8x) = 5(3x + -1) Reorder the terms: 16 + 8x = 5(-1 + 3x) 16 + 8x = (-1 * 5 + 3x * 5) 16 + 8x = (-5 + 15x) Solving 16 + 8x = -5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 16 + 8x + -15x = -5 + 15x + -15x Combine like terms: 8x + -15x = -7x 16 + -7x = -5 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + -7x = -5 + 0 16 + -7x = -5 Add '-16' to each side of the equation. 16 + -16 + -7x = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = -5 + -16 -7x = -5 + -16 Combine like terms: -5 + -16 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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