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Simplifying 3(2x + -8) + 18 = 9x + -2(9x + -12) Reorder the terms: 3(-8 + 2x) + 18 = 9x + -2(9x + -12) (-8 * 3 + 2x * 3) + 18 = 9x + -2(9x + -12) (-24 + 6x) + 18 = 9x + -2(9x + -12) Reorder the terms: -24 + 18 + 6x = 9x + -2(9x + -12) Combine like terms: -24 + 18 = -6 -6 + 6x = 9x + -2(9x + -12) Reorder the terms: -6 + 6x = 9x + -2(-12 + 9x) -6 + 6x = 9x + (-12 * -2 + 9x * -2) -6 + 6x = 9x + (24 + -18x) Reorder the terms: -6 + 6x = 24 + 9x + -18x Combine like terms: 9x + -18x = -9x -6 + 6x = 24 + -9x Solving -6 + 6x = 24 + -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. -6 + 6x + 9x = 24 + -9x + 9x Combine like terms: 6x + 9x = 15x -6 + 15x = 24 + -9x + 9x Combine like terms: -9x + 9x = 0 -6 + 15x = 24 + 0 -6 + 15x = 24 Add '6' to each side of the equation. -6 + 6 + 15x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 24 + 6 15x = 24 + 6 Combine like terms: 24 + 6 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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