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Simplifying 3x + 5(x + 3) = 7x + 8 Reorder the terms: 3x + 5(3 + x) = 7x + 8 3x + (3 * 5 + x * 5) = 7x + 8 3x + (15 + 5x) = 7x + 8 Reorder the terms: 15 + 3x + 5x = 7x + 8 Combine like terms: 3x + 5x = 8x 15 + 8x = 7x + 8 Reorder the terms: 15 + 8x = 8 + 7x Solving 15 + 8x = 8 + 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 + 8x + -7x = 8 + 7x + -7x Combine like terms: 8x + -7x = 1x 15 + 1x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 1x = 8 + 0 15 + 1x = 8 Add '-15' to each side of the equation. 15 + -15 + 1x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 8 + -15 1x = 8 + -15 Combine like terms: 8 + -15 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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