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Simplifying 7(x + -8.2) = 3x + 19 Reorder the terms: 7(-8.2 + x) = 3x + 19 (-8.2 * 7 + x * 7) = 3x + 19 (-57.4 + 7x) = 3x + 19 Reorder the terms: -57.4 + 7x = 19 + 3x Solving -57.4 + 7x = 19 + 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. -57.4 + 7x + -3x = 19 + 3x + -3x Combine like terms: 7x + -3x = 4x -57.4 + 4x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 -57.4 + 4x = 19 + 0 -57.4 + 4x = 19 Add '57.4' to each side of the equation. -57.4 + 57.4 + 4x = 19 + 57.4 Combine like terms: -57.4 + 57.4 = 0.0 0.0 + 4x = 19 + 57.4 4x = 19 + 57.4 Combine like terms: 19 + 57.4 = 76.4 4x = 76.4 Divide each side by '4'. x = 19.1 Simplifying x = 19.1
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