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Simplifying 6(x + -12) = 24 + -3(3x + -9) Reorder the terms: 6(-12 + x) = 24 + -3(3x + -9) (-12 * 6 + x * 6) = 24 + -3(3x + -9) (-72 + 6x) = 24 + -3(3x + -9) Reorder the terms: -72 + 6x = 24 + -3(-9 + 3x) -72 + 6x = 24 + (-9 * -3 + 3x * -3) -72 + 6x = 24 + (27 + -9x) Combine like terms: 24 + 27 = 51 -72 + 6x = 51 + -9x Solving -72 + 6x = 51 + -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. -72 + 6x + 9x = 51 + -9x + 9x Combine like terms: 6x + 9x = 15x -72 + 15x = 51 + -9x + 9x Combine like terms: -9x + 9x = 0 -72 + 15x = 51 + 0 -72 + 15x = 51 Add '72' to each side of the equation. -72 + 72 + 15x = 51 + 72 Combine like terms: -72 + 72 = 0 0 + 15x = 51 + 72 15x = 51 + 72 Combine like terms: 51 + 72 = 123 15x = 123 Divide each side by '15'. x = 8.2 Simplifying x = 8.2
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