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Simplifying 10(x + 3) = 7x + 51 Reorder the terms: 10(3 + x) = 7x + 51 (3 * 10 + x * 10) = 7x + 51 (30 + 10x) = 7x + 51 Reorder the terms: 30 + 10x = 51 + 7x Solving 30 + 10x = 51 + 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. 30 + 10x + -7x = 51 + 7x + -7x Combine like terms: 10x + -7x = 3x 30 + 3x = 51 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 3x = 51 + 0 30 + 3x = 51 Add '-30' to each side of the equation. 30 + -30 + 3x = 51 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = 51 + -30 3x = 51 + -30 Combine like terms: 51 + -30 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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