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Simplifying 5(x + 3) = 4(2 + -4x) Reorder the terms: 5(3 + x) = 4(2 + -4x) (3 * 5 + x * 5) = 4(2 + -4x) (15 + 5x) = 4(2 + -4x) 15 + 5x = (2 * 4 + -4x * 4) 15 + 5x = (8 + -16x) Solving 15 + 5x = 8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 15 + 5x + 16x = 8 + -16x + 16x Combine like terms: 5x + 16x = 21x 15 + 21x = 8 + -16x + 16x Combine like terms: -16x + 16x = 0 15 + 21x = 8 + 0 15 + 21x = 8 Add '-15' to each side of the equation. 15 + -15 + 21x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 21x = 8 + -15 21x = 8 + -15 Combine like terms: 8 + -15 = -7 21x = -7 Divide each side by '21'. x = -0.3333333333 Simplifying x = -0.3333333333
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