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Simplifying 10(x + 6) = 7(2x + 3) Reorder the terms: 10(6 + x) = 7(2x + 3) (6 * 10 + x * 10) = 7(2x + 3) (60 + 10x) = 7(2x + 3) Reorder the terms: 60 + 10x = 7(3 + 2x) 60 + 10x = (3 * 7 + 2x * 7) 60 + 10x = (21 + 14x) Solving 60 + 10x = 21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 60 + 10x + -14x = 21 + 14x + -14x Combine like terms: 10x + -14x = -4x 60 + -4x = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 60 + -4x = 21 + 0 60 + -4x = 21 Add '-60' to each side of the equation. 60 + -60 + -4x = 21 + -60 Combine like terms: 60 + -60 = 0 0 + -4x = 21 + -60 -4x = 21 + -60 Combine like terms: 21 + -60 = -39 -4x = -39 Divide each side by '-4'. x = 9.75 Simplifying x = 9.75
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