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Simplifying 7(x + 1) + 3x = 2x + 15 Reorder the terms: 7(1 + x) + 3x = 2x + 15 (1 * 7 + x * 7) + 3x = 2x + 15 (7 + 7x) + 3x = 2x + 15 Combine like terms: 7x + 3x = 10x 7 + 10x = 2x + 15 Reorder the terms: 7 + 10x = 15 + 2x Solving 7 + 10x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 10x + -2x = 15 + 2x + -2x Combine like terms: 10x + -2x = 8x 7 + 8x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 8x = 15 + 0 7 + 8x = 15 Add '-7' to each side of the equation. 7 + -7 + 8x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 15 + -7 8x = 15 + -7 Combine like terms: 15 + -7 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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