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Simplifying 7(4x + -6) = 3x + -2 Reorder the terms: 7(-6 + 4x) = 3x + -2 (-6 * 7 + 4x * 7) = 3x + -2 (-42 + 28x) = 3x + -2 Reorder the terms: -42 + 28x = -2 + 3x Solving -42 + 28x = -2 + 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 + 28x + -3x = -2 + 3x + -3x Combine like terms: 28x + -3x = 25x -42 + 25x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 25x = -2 + 0 -42 + 25x = -2 Add '42' to each side of the equation. -42 + 42 + 25x = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 25x = -2 + 42 25x = -2 + 42 Combine like terms: -2 + 42 = 40 25x = 40 Divide each side by '25'. x = 1.6 Simplifying x = 1.6
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