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Simplifying 5(4 + 7x) + -4x = -1 + -7(x + -3) (4 * 5 + 7x * 5) + -4x = -1 + -7(x + -3) (20 + 35x) + -4x = -1 + -7(x + -3) Combine like terms: 35x + -4x = 31x 20 + 31x = -1 + -7(x + -3) Reorder the terms: 20 + 31x = -1 + -7(-3 + x) 20 + 31x = -1 + (-3 * -7 + x * -7) 20 + 31x = -1 + (21 + -7x) Combine like terms: -1 + 21 = 20 20 + 31x = 20 + -7x Add '-20' to each side of the equation. 20 + -20 + 31x = 20 + -20 + -7x Combine like terms: 20 + -20 = 0 0 + 31x = 20 + -20 + -7x 31x = 20 + -20 + -7x Combine like terms: 20 + -20 = 0 31x = 0 + -7x 31x = -7x Solving 31x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 31x + 7x = -7x + 7x Combine like terms: 31x + 7x = 38x 38x = -7x + 7x Combine like terms: -7x + 7x = 0 38x = 0 Divide each side by '38'. x = 0 Simplifying x = 0
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