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Simplifying 8x + 5(5 + -1x) + -7 = -1x + -1(x + 1) * 3 8x + (5 * 5 + -1x * 5) + -7 = -1x + -1(x + 1) * 3 8x + (25 + -5x) + -7 = -1x + -1(x + 1) * 3 Reorder the terms: 25 + -7 + 8x + -5x = -1x + -1(x + 1) * 3 Combine like terms: 25 + -7 = 18 18 + 8x + -5x = -1x + -1(x + 1) * 3 Combine like terms: 8x + -5x = 3x 18 + 3x = -1x + -1(x + 1) * 3 Reorder the terms: 18 + 3x = -1x + -1(1 + x) * 3 Reorder the terms for easier multiplication: 18 + 3x = -1x + -1 * 3(1 + x) Multiply -1 * 3 18 + 3x = -1x + -3(1 + x) 18 + 3x = -1x + (1 * -3 + x * -3) 18 + 3x = -1x + (-3 + -3x) Reorder the terms: 18 + 3x = -3 + -1x + -3x Combine like terms: -1x + -3x = -4x 18 + 3x = -3 + -4x Solving 18 + 3x = -3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 18 + 3x + 4x = -3 + -4x + 4x Combine like terms: 3x + 4x = 7x 18 + 7x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + 7x = -3 + 0 18 + 7x = -3 Add '-18' to each side of the equation. 18 + -18 + 7x = -3 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = -3 + -18 7x = -3 + -18 Combine like terms: -3 + -18 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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