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Simplifying 16 + -1(13x + 1) = -7(x + 3) Reorder the terms: 16 + -1(1 + 13x) = -7(x + 3) 16 + (1 * -1 + 13x * -1) = -7(x + 3) 16 + (-1 + -13x) = -7(x + 3) Combine like terms: 16 + -1 = 15 15 + -13x = -7(x + 3) Reorder the terms: 15 + -13x = -7(3 + x) 15 + -13x = (3 * -7 + x * -7) 15 + -13x = (-21 + -7x) Solving 15 + -13x = -21 + -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. 15 + -13x + 7x = -21 + -7x + 7x Combine like terms: -13x + 7x = -6x 15 + -6x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + -6x = -21 + 0 15 + -6x = -21 Add '-15' to each side of the equation. 15 + -15 + -6x = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = -21 + -15 -6x = -21 + -15 Combine like terms: -21 + -15 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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