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Simplifying 8x + -5(x + -3) = (7x + -1) * 3 Reorder the terms: 8x + -5(-3 + x) = (7x + -1) * 3 8x + (-3 * -5 + x * -5) = (7x + -1) * 3 8x + (15 + -5x) = (7x + -1) * 3 Reorder the terms: 15 + 8x + -5x = (7x + -1) * 3 Combine like terms: 8x + -5x = 3x 15 + 3x = (7x + -1) * 3 Reorder the terms: 15 + 3x = (-1 + 7x) * 3 Reorder the terms for easier multiplication: 15 + 3x = 3(-1 + 7x) 15 + 3x = (-1 * 3 + 7x * 3) 15 + 3x = (-3 + 21x) Solving 15 + 3x = -3 + 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. 15 + 3x + -21x = -3 + 21x + -21x Combine like terms: 3x + -21x = -18x 15 + -18x = -3 + 21x + -21x Combine like terms: 21x + -21x = 0 15 + -18x = -3 + 0 15 + -18x = -3 Add '-15' to each side of the equation. 15 + -15 + -18x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -18x = -3 + -15 -18x = -3 + -15 Combine like terms: -3 + -15 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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