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Simplifying 9(x + -5) + -1(6 + 4x) = 4x Reorder the terms: 9(-5 + x) + -1(6 + 4x) = 4x (-5 * 9 + x * 9) + -1(6 + 4x) = 4x (-45 + 9x) + -1(6 + 4x) = 4x -45 + 9x + (6 * -1 + 4x * -1) = 4x -45 + 9x + (-6 + -4x) = 4x Reorder the terms: -45 + -6 + 9x + -4x = 4x Combine like terms: -45 + -6 = -51 -51 + 9x + -4x = 4x Combine like terms: 9x + -4x = 5x -51 + 5x = 4x Solving -51 + 5x = 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. -51 + 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x -51 + 1x = 4x + -4x Combine like terms: 4x + -4x = 0 -51 + 1x = 0 Add '51' to each side of the equation. -51 + 51 + 1x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 1x = 0 + 51 1x = 0 + 51 Combine like terms: 0 + 51 = 51 1x = 51 Divide each side by '1'. x = 51 Simplifying x = 51
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