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Simplifying -4x + 47 = 2(2x + -1) + 9 Reorder the terms: 47 + -4x = 2(2x + -1) + 9 Reorder the terms: 47 + -4x = 2(-1 + 2x) + 9 47 + -4x = (-1 * 2 + 2x * 2) + 9 47 + -4x = (-2 + 4x) + 9 Reorder the terms: 47 + -4x = -2 + 9 + 4x Combine like terms: -2 + 9 = 7 47 + -4x = 7 + 4x Solving 47 + -4x = 7 + 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 + -4x = 7 + 4x + -4x Combine like terms: -4x + -4x = -8x 47 + -8x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 47 + -8x = 7 + 0 47 + -8x = 7 Add '-47' to each side of the equation. 47 + -47 + -8x = 7 + -47 Combine like terms: 47 + -47 = 0 0 + -8x = 7 + -47 -8x = 7 + -47 Combine like terms: 7 + -47 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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