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Simplifying -47 = -6x + -5(-2x + 19) Reorder the terms: -47 = -6x + -5(19 + -2x) -47 = -6x + (19 * -5 + -2x * -5) -47 = -6x + (-95 + 10x) Reorder the terms: -47 = -95 + -6x + 10x Combine like terms: -6x + 10x = 4x -47 = -95 + 4x Solving -47 = -95 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -47 + -4x = -95 + 4x + -4x Combine like terms: 4x + -4x = 0 -47 + -4x = -95 + 0 -47 + -4x = -95 Add '47' to each side of the equation. -47 + 47 + -4x = -95 + 47 Combine like terms: -47 + 47 = 0 0 + -4x = -95 + 47 -4x = -95 + 47 Combine like terms: -95 + 47 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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