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Simplifying 4(6x + -4) = 7(3x + 8) Reorder the terms: 4(-4 + 6x) = 7(3x + 8) (-4 * 4 + 6x * 4) = 7(3x + 8) (-16 + 24x) = 7(3x + 8) Reorder the terms: -16 + 24x = 7(8 + 3x) -16 + 24x = (8 * 7 + 3x * 7) -16 + 24x = (56 + 21x) Solving -16 + 24x = 56 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -16 + 24x + -21x = 56 + 21x + -21x Combine like terms: 24x + -21x = 3x -16 + 3x = 56 + 21x + -21x Combine like terms: 21x + -21x = 0 -16 + 3x = 56 + 0 -16 + 3x = 56 Add '16' to each side of the equation. -16 + 16 + 3x = 56 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 56 + 16 3x = 56 + 16 Combine like terms: 56 + 16 = 72 3x = 72 Divide each side by '3'. x = 24 Simplifying x = 24
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