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Simplifying 8(x + 3) + 5(x + 3) = 7x + -3 Reorder the terms: 8(3 + x) + 5(x + 3) = 7x + -3 (3 * 8 + x * 8) + 5(x + 3) = 7x + -3 (24 + 8x) + 5(x + 3) = 7x + -3 Reorder the terms: 24 + 8x + 5(3 + x) = 7x + -3 24 + 8x + (3 * 5 + x * 5) = 7x + -3 24 + 8x + (15 + 5x) = 7x + -3 Reorder the terms: 24 + 15 + 8x + 5x = 7x + -3 Combine like terms: 24 + 15 = 39 39 + 8x + 5x = 7x + -3 Combine like terms: 8x + 5x = 13x 39 + 13x = 7x + -3 Reorder the terms: 39 + 13x = -3 + 7x Solving 39 + 13x = -3 + 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. 39 + 13x + -7x = -3 + 7x + -7x Combine like terms: 13x + -7x = 6x 39 + 6x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 39 + 6x = -3 + 0 39 + 6x = -3 Add '-39' to each side of the equation. 39 + -39 + 6x = -3 + -39 Combine like terms: 39 + -39 = 0 0 + 6x = -3 + -39 6x = -3 + -39 Combine like terms: -3 + -39 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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