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Simplifying -2x + -47 = 4(x + -5) + -3 Reorder the terms: -47 + -2x = 4(x + -5) + -3 Reorder the terms: -47 + -2x = 4(-5 + x) + -3 -47 + -2x = (-5 * 4 + x * 4) + -3 -47 + -2x = (-20 + 4x) + -3 Reorder the terms: -47 + -2x = -20 + -3 + 4x Combine like terms: -20 + -3 = -23 -47 + -2x = -23 + 4x Solving -47 + -2x = -23 + 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 + -2x + -4x = -23 + 4x + -4x Combine like terms: -2x + -4x = -6x -47 + -6x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -47 + -6x = -23 + 0 -47 + -6x = -23 Add '47' to each side of the equation. -47 + 47 + -6x = -23 + 47 Combine like terms: -47 + 47 = 0 0 + -6x = -23 + 47 -6x = -23 + 47 Combine like terms: -23 + 47 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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