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Simplifying 6(3x + 7) = 10(2x + 3) Reorder the terms: 6(7 + 3x) = 10(2x + 3) (7 * 6 + 3x * 6) = 10(2x + 3) (42 + 18x) = 10(2x + 3) Reorder the terms: 42 + 18x = 10(3 + 2x) 42 + 18x = (3 * 10 + 2x * 10) 42 + 18x = (30 + 20x) Solving 42 + 18x = 30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 42 + 18x + -20x = 30 + 20x + -20x Combine like terms: 18x + -20x = -2x 42 + -2x = 30 + 20x + -20x Combine like terms: 20x + -20x = 0 42 + -2x = 30 + 0 42 + -2x = 30 Add '-42' to each side of the equation. 42 + -42 + -2x = 30 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 30 + -42 -2x = 30 + -42 Combine like terms: 30 + -42 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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