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Simplifying 7(4x + -6) = 3 + (2x + 1) Reorder the terms: 7(-6 + 4x) = 3 + (2x + 1) (-6 * 7 + 4x * 7) = 3 + (2x + 1) (-42 + 28x) = 3 + (2x + 1) Reorder the terms: -42 + 28x = 3 + (1 + 2x) Remove parenthesis around (1 + 2x) -42 + 28x = 3 + 1 + 2x Combine like terms: 3 + 1 = 4 -42 + 28x = 4 + 2x Solving -42 + 28x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 28x + -2x = 4 + 2x + -2x Combine like terms: 28x + -2x = 26x -42 + 26x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 26x = 4 + 0 -42 + 26x = 4 Add '42' to each side of the equation. -42 + 42 + 26x = 4 + 42 Combine like terms: -42 + 42 = 0 0 + 26x = 4 + 42 26x = 4 + 42 Combine like terms: 4 + 42 = 46 26x = 46 Divide each side by '26'. x = 1.769230769 Simplifying x = 1.769230769
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