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Simplifying 6(x + -7) = 9(x + -5) Reorder the terms: 6(-7 + x) = 9(x + -5) (-7 * 6 + x * 6) = 9(x + -5) (-42 + 6x) = 9(x + -5) Reorder the terms: -42 + 6x = 9(-5 + x) -42 + 6x = (-5 * 9 + x * 9) -42 + 6x = (-45 + 9x) Solving -42 + 6x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -42 + 6x + -9x = -45 + 9x + -9x Combine like terms: 6x + -9x = -3x -42 + -3x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -42 + -3x = -45 + 0 -42 + -3x = -45 Add '42' to each side of the equation. -42 + 42 + -3x = -45 + 42 Combine like terms: -42 + 42 = 0 0 + -3x = -45 + 42 -3x = -45 + 42 Combine like terms: -45 + 42 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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