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Simplifying 52 + -1(4x + 5) = 4(x + 5) + x Reorder the terms: 52 + -1(5 + 4x) = 4(x + 5) + x 52 + (5 * -1 + 4x * -1) = 4(x + 5) + x 52 + (-5 + -4x) = 4(x + 5) + x Combine like terms: 52 + -5 = 47 47 + -4x = 4(x + 5) + x Reorder the terms: 47 + -4x = 4(5 + x) + x 47 + -4x = (5 * 4 + x * 4) + x 47 + -4x = (20 + 4x) + x Combine like terms: 4x + x = 5x 47 + -4x = 20 + 5x Solving 47 + -4x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 47 + -4x + -5x = 20 + 5x + -5x Combine like terms: -4x + -5x = -9x 47 + -9x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 47 + -9x = 20 + 0 47 + -9x = 20 Add '-47' to each side of the equation. 47 + -47 + -9x = 20 + -47 Combine like terms: 47 + -47 = 0 0 + -9x = 20 + -47 -9x = 20 + -47 Combine like terms: 20 + -47 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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