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Simplifying 5 + -6x = 3(-7x + 8) + -4 Reorder the terms: 5 + -6x = 3(8 + -7x) + -4 5 + -6x = (8 * 3 + -7x * 3) + -4 5 + -6x = (24 + -21x) + -4 Reorder the terms: 5 + -6x = 24 + -4 + -21x Combine like terms: 24 + -4 = 20 5 + -6x = 20 + -21x Solving 5 + -6x = 20 + -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. 5 + -6x + 21x = 20 + -21x + 21x Combine like terms: -6x + 21x = 15x 5 + 15x = 20 + -21x + 21x Combine like terms: -21x + 21x = 0 5 + 15x = 20 + 0 5 + 15x = 20 Add '-5' to each side of the equation. 5 + -5 + 15x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = 20 + -5 15x = 20 + -5 Combine like terms: 20 + -5 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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