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Simplifying 7(3 + -1x) = 5(3x) + -1 (3 * 7 + -1x * 7) = 5(3x) + -1 (21 + -7x) = 5(3x) + -1 Remove parenthesis around (3x) 21 + -7x = 5 * 3x + -1 Multiply 5 * 3 21 + -7x = 15x + -1 Reorder the terms: 21 + -7x = -1 + 15x Solving 21 + -7x = -1 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 21 + -7x + -15x = -1 + 15x + -15x Combine like terms: -7x + -15x = -22x 21 + -22x = -1 + 15x + -15x Combine like terms: 15x + -15x = 0 21 + -22x = -1 + 0 21 + -22x = -1 Add '-21' to each side of the equation. 21 + -21 + -22x = -1 + -21 Combine like terms: 21 + -21 = 0 0 + -22x = -1 + -21 -22x = -1 + -21 Combine like terms: -1 + -21 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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