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Simplifying 51 + -1(4x + 9) = 4(x + 6) + x Reorder the terms: 51 + -1(9 + 4x) = 4(x + 6) + x 51 + (9 * -1 + 4x * -1) = 4(x + 6) + x 51 + (-9 + -4x) = 4(x + 6) + x Combine like terms: 51 + -9 = 42 42 + -4x = 4(x + 6) + x Reorder the terms: 42 + -4x = 4(6 + x) + x 42 + -4x = (6 * 4 + x * 4) + x 42 + -4x = (24 + 4x) + x Combine like terms: 4x + x = 5x 42 + -4x = 24 + 5x Solving 42 + -4x = 24 + 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. 42 + -4x + -5x = 24 + 5x + -5x Combine like terms: -4x + -5x = -9x 42 + -9x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -9x = 24 + 0 42 + -9x = 24 Add '-42' to each side of the equation. 42 + -42 + -9x = 24 + -42 Combine like terms: 42 + -42 = 0 0 + -9x = 24 + -42 -9x = 24 + -42 Combine like terms: 24 + -42 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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