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Simplifying 3x + 5(1 + x) + 15 = 7x 3x + (1 * 5 + x * 5) + 15 = 7x 3x + (5 + 5x) + 15 = 7x Reorder the terms: 5 + 15 + 3x + 5x = 7x Combine like terms: 5 + 15 = 20 20 + 3x + 5x = 7x Combine like terms: 3x + 5x = 8x 20 + 8x = 7x Solving 20 + 8x = 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. 20 + 8x + -7x = 7x + -7x Combine like terms: 8x + -7x = 1x 20 + 1x = 7x + -7x Combine like terms: 7x + -7x = 0 20 + 1x = 0 Add '-20' to each side of the equation. 20 + -20 + 1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 0 + -20 1x = 0 + -20 Combine like terms: 0 + -20 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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