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Simplifying 15 + 4x = 8 + -7(6x + -1) Reorder the terms: 15 + 4x = 8 + -7(-1 + 6x) 15 + 4x = 8 + (-1 * -7 + 6x * -7) 15 + 4x = 8 + (7 + -42x) Combine like terms: 8 + 7 = 15 15 + 4x = 15 + -42x Add '-15' to each side of the equation. 15 + -15 + 4x = 15 + -15 + -42x Combine like terms: 15 + -15 = 0 0 + 4x = 15 + -15 + -42x 4x = 15 + -15 + -42x Combine like terms: 15 + -15 = 0 4x = 0 + -42x 4x = -42x Solving 4x = -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 4x + 42x = -42x + 42x Combine like terms: 4x + 42x = 46x 46x = -42x + 42x Combine like terms: -42x + 42x = 0 46x = 0 Divide each side by '46'. x = 0 Simplifying x = 0
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