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Simplifying 47 = 4x + 5(-1x + 11) Reorder the terms: 47 = 4x + 5(11 + -1x) 47 = 4x + (11 * 5 + -1x * 5) 47 = 4x + (55 + -5x) Reorder the terms: 47 = 55 + 4x + -5x Combine like terms: 4x + -5x = -1x 47 = 55 + -1x Solving 47 = 55 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 47 + x = 55 + -1x + x Combine like terms: -1x + x = 0 47 + x = 55 + 0 47 + x = 55 Add '-47' to each side of the equation. 47 + -47 + x = 55 + -47 Combine like terms: 47 + -47 = 0 0 + x = 55 + -47 x = 55 + -47 Combine like terms: 55 + -47 = 8 x = 8 Simplifying x = 8
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