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Simplifying 7(x + 3) + -8 = 5x + 3 Reorder the terms: 7(3 + x) + -8 = 5x + 3 (3 * 7 + x * 7) + -8 = 5x + 3 (21 + 7x) + -8 = 5x + 3 Reorder the terms: 21 + -8 + 7x = 5x + 3 Combine like terms: 21 + -8 = 13 13 + 7x = 5x + 3 Reorder the terms: 13 + 7x = 3 + 5x Solving 13 + 7x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + 7x + -5x = 3 + 5x + -5x Combine like terms: 7x + -5x = 2x 13 + 2x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + 2x = 3 + 0 13 + 2x = 3 Add '-13' to each side of the equation. 13 + -13 + 2x = 3 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 3 + -13 2x = 3 + -13 Combine like terms: 3 + -13 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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