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Simplifying 9 + 6(x + -7) = 3 + -9(x + -5) Reorder the terms: 9 + 6(-7 + x) = 3 + -9(x + -5) 9 + (-7 * 6 + x * 6) = 3 + -9(x + -5) 9 + (-42 + 6x) = 3 + -9(x + -5) Combine like terms: 9 + -42 = -33 -33 + 6x = 3 + -9(x + -5) Reorder the terms: -33 + 6x = 3 + -9(-5 + x) -33 + 6x = 3 + (-5 * -9 + x * -9) -33 + 6x = 3 + (45 + -9x) Combine like terms: 3 + 45 = 48 -33 + 6x = 48 + -9x Solving -33 + 6x = 48 + -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. -33 + 6x + 9x = 48 + -9x + 9x Combine like terms: 6x + 9x = 15x -33 + 15x = 48 + -9x + 9x Combine like terms: -9x + 9x = 0 -33 + 15x = 48 + 0 -33 + 15x = 48 Add '33' to each side of the equation. -33 + 33 + 15x = 48 + 33 Combine like terms: -33 + 33 = 0 0 + 15x = 48 + 33 15x = 48 + 33 Combine like terms: 48 + 33 = 81 15x = 81 Divide each side by '15'. x = 5.4 Simplifying x = 5.4
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