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Simplifying -1x + 47 = 4(x + -2) Reorder the terms: 47 + -1x = 4(x + -2) Reorder the terms: 47 + -1x = 4(-2 + x) 47 + -1x = (-2 * 4 + x * 4) 47 + -1x = (-8 + 4x) Solving 47 + -1x = -8 + 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 + -1x + -4x = -8 + 4x + -4x Combine like terms: -1x + -4x = -5x 47 + -5x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 47 + -5x = -8 + 0 47 + -5x = -8 Add '-47' to each side of the equation. 47 + -47 + -5x = -8 + -47 Combine like terms: 47 + -47 = 0 0 + -5x = -8 + -47 -5x = -8 + -47 Combine like terms: -8 + -47 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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