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Simplifying 2(6x + -3) = 18 + -3(-3x + -16) Reorder the terms: 2(-3 + 6x) = 18 + -3(-3x + -16) (-3 * 2 + 6x * 2) = 18 + -3(-3x + -16) (-6 + 12x) = 18 + -3(-3x + -16) Reorder the terms: -6 + 12x = 18 + -3(-16 + -3x) -6 + 12x = 18 + (-16 * -3 + -3x * -3) -6 + 12x = 18 + (48 + 9x) Combine like terms: 18 + 48 = 66 -6 + 12x = 66 + 9x Solving -6 + 12x = 66 + 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 + 12x + -9x = 66 + 9x + -9x Combine like terms: 12x + -9x = 3x -6 + 3x = 66 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + 3x = 66 + 0 -6 + 3x = 66 Add '6' to each side of the equation. -6 + 6 + 3x = 66 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 66 + 6 3x = 66 + 6 Combine like terms: 66 + 6 = 72 3x = 72 Divide each side by '3'. x = 24 Simplifying x = 24
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