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Simplifying 7(x + 6) = 10x Reorder the terms: 7(6 + x) = 10x (6 * 7 + x * 7) = 10x (42 + 7x) = 10x Solving 42 + 7x = 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. 42 + 7x + -10x = 10x + -10x Combine like terms: 7x + -10x = -3x 42 + -3x = 10x + -10x Combine like terms: 10x + -10x = 0 42 + -3x = 0 Add '-42' to each side of the equation. 42 + -42 + -3x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = 0 + -42 -3x = 0 + -42 Combine like terms: 0 + -42 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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