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Simplifying 7x + -1(6x + 3) = 2x + -50 Reorder the terms: 7x + -1(3 + 6x) = 2x + -50 7x + (3 * -1 + 6x * -1) = 2x + -50 7x + (-3 + -6x) = 2x + -50 Reorder the terms: -3 + 7x + -6x = 2x + -50 Combine like terms: 7x + -6x = 1x -3 + 1x = 2x + -50 Reorder the terms: -3 + 1x = -50 + 2x Solving -3 + 1x = -50 + 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. -3 + 1x + -2x = -50 + 2x + -2x Combine like terms: 1x + -2x = -1x -3 + -1x = -50 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -1x = -50 + 0 -3 + -1x = -50 Add '3' to each side of the equation. -3 + 3 + -1x = -50 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -50 + 3 -1x = -50 + 3 Combine like terms: -50 + 3 = -47 -1x = -47 Divide each side by '-1'. x = 47 Simplifying x = 47
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