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Simplifying 7(x + 3) + 3x + 1 = 2(x + -13) Reorder the terms: 7(3 + x) + 3x + 1 = 2(x + -13) (3 * 7 + x * 7) + 3x + 1 = 2(x + -13) (21 + 7x) + 3x + 1 = 2(x + -13) Reorder the terms: 21 + 1 + 7x + 3x = 2(x + -13) Combine like terms: 21 + 1 = 22 22 + 7x + 3x = 2(x + -13) Combine like terms: 7x + 3x = 10x 22 + 10x = 2(x + -13) Reorder the terms: 22 + 10x = 2(-13 + x) 22 + 10x = (-13 * 2 + x * 2) 22 + 10x = (-26 + 2x) Solving 22 + 10x = -26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 22 + 10x + -2x = -26 + 2x + -2x Combine like terms: 10x + -2x = 8x 22 + 8x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 22 + 8x = -26 + 0 22 + 8x = -26 Add '-22' to each side of the equation. 22 + -22 + 8x = -26 + -22 Combine like terms: 22 + -22 = 0 0 + 8x = -26 + -22 8x = -26 + -22 Combine like terms: -26 + -22 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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