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Simplifying -9x + -73 = 6(x + -3) + 50 Reorder the terms: -73 + -9x = 6(x + -3) + 50 Reorder the terms: -73 + -9x = 6(-3 + x) + 50 -73 + -9x = (-3 * 6 + x * 6) + 50 -73 + -9x = (-18 + 6x) + 50 Reorder the terms: -73 + -9x = -18 + 50 + 6x Combine like terms: -18 + 50 = 32 -73 + -9x = 32 + 6x Solving -73 + -9x = 32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -73 + -9x + -6x = 32 + 6x + -6x Combine like terms: -9x + -6x = -15x -73 + -15x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 -73 + -15x = 32 + 0 -73 + -15x = 32 Add '73' to each side of the equation. -73 + 73 + -15x = 32 + 73 Combine like terms: -73 + 73 = 0 0 + -15x = 32 + 73 -15x = 32 + 73 Combine like terms: 32 + 73 = 105 -15x = 105 Divide each side by '-15'. x = -7 Simplifying x = -7
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