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Simplifying 7(2x + -6) = 3(x + -2) + 16 Reorder the terms: 7(-6 + 2x) = 3(x + -2) + 16 (-6 * 7 + 2x * 7) = 3(x + -2) + 16 (-42 + 14x) = 3(x + -2) + 16 Reorder the terms: -42 + 14x = 3(-2 + x) + 16 -42 + 14x = (-2 * 3 + x * 3) + 16 -42 + 14x = (-6 + 3x) + 16 Reorder the terms: -42 + 14x = -6 + 16 + 3x Combine like terms: -6 + 16 = 10 -42 + 14x = 10 + 3x Solving -42 + 14x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -42 + 14x + -3x = 10 + 3x + -3x Combine like terms: 14x + -3x = 11x -42 + 11x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 11x = 10 + 0 -42 + 11x = 10 Add '42' to each side of the equation. -42 + 42 + 11x = 10 + 42 Combine like terms: -42 + 42 = 0 0 + 11x = 10 + 42 11x = 10 + 42 Combine like terms: 10 + 42 = 52 11x = 52 Divide each side by '11'. x = 4.727272727 Simplifying x = 4.727272727
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