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Simplifying 7(x + 3) = 10x + 9 Reorder the terms: 7(3 + x) = 10x + 9 (3 * 7 + x * 7) = 10x + 9 (21 + 7x) = 10x + 9 Reorder the terms: 21 + 7x = 9 + 10x Solving 21 + 7x = 9 + 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 + 7x + -10x = 9 + 10x + -10x Combine like terms: 7x + -10x = -3x 21 + -3x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -3x = 9 + 0 21 + -3x = 9 Add '-21' to each side of the equation. 21 + -21 + -3x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 9 + -21 -3x = 9 + -21 Combine like terms: 9 + -21 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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