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Simplifying 6x + -1(4x + 3) = 6x + -47 Reorder the terms: 6x + -1(3 + 4x) = 6x + -47 6x + (3 * -1 + 4x * -1) = 6x + -47 6x + (-3 + -4x) = 6x + -47 Reorder the terms: -3 + 6x + -4x = 6x + -47 Combine like terms: 6x + -4x = 2x -3 + 2x = 6x + -47 Reorder the terms: -3 + 2x = -47 + 6x Solving -3 + 2x = -47 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 2x + -6x = -47 + 6x + -6x Combine like terms: 2x + -6x = -4x -3 + -4x = -47 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -4x = -47 + 0 -3 + -4x = -47 Add '3' to each side of the equation. -3 + 3 + -4x = -47 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = -47 + 3 -4x = -47 + 3 Combine like terms: -47 + 3 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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