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Simplifying 8(1 + 3x) + -1 = -7(x + -1) (1 * 8 + 3x * 8) + -1 = -7(x + -1) (8 + 24x) + -1 = -7(x + -1) Reorder the terms: 8 + -1 + 24x = -7(x + -1) Combine like terms: 8 + -1 = 7 7 + 24x = -7(x + -1) Reorder the terms: 7 + 24x = -7(-1 + x) 7 + 24x = (-1 * -7 + x * -7) 7 + 24x = (7 + -7x) Add '-7' to each side of the equation. 7 + -7 + 24x = 7 + -7 + -7x Combine like terms: 7 + -7 = 0 0 + 24x = 7 + -7 + -7x 24x = 7 + -7 + -7x Combine like terms: 7 + -7 = 0 24x = 0 + -7x 24x = -7x Solving 24x = -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. 24x + 7x = -7x + 7x Combine like terms: 24x + 7x = 31x 31x = -7x + 7x Combine like terms: -7x + 7x = 0 31x = 0 Divide each side by '31'. x = 0 Simplifying x = 0
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