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Simplifying 3(x + 7) = 10x + 14 Reorder the terms: 3(7 + x) = 10x + 14 (7 * 3 + x * 3) = 10x + 14 (21 + 3x) = 10x + 14 Reorder the terms: 21 + 3x = 14 + 10x Solving 21 + 3x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 3x + -10x = 14 + 10x + -10x Combine like terms: 3x + -10x = -7x 21 + -7x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -7x = 14 + 0 21 + -7x = 14 Add '-21' to each side of the equation. 21 + -21 + -7x = 14 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 14 + -21 -7x = 14 + -21 Combine like terms: 14 + -21 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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