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Simplifying 7(x + 3) = 15x + -31 Reorder the terms: 7(3 + x) = 15x + -31 (3 * 7 + x * 7) = 15x + -31 (21 + 7x) = 15x + -31 Reorder the terms: 21 + 7x = -31 + 15x Solving 21 + 7x = -31 + 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 = -31 + 15x + -15x Combine like terms: 7x + -15x = -8x 21 + -8x = -31 + 15x + -15x Combine like terms: 15x + -15x = 0 21 + -8x = -31 + 0 21 + -8x = -31 Add '-21' to each side of the equation. 21 + -21 + -8x = -31 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = -31 + -21 -8x = -31 + -21 Combine like terms: -31 + -21 = -52 -8x = -52 Divide each side by '-8'. x = 6.5 Simplifying x = 6.5
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