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Simplifying 6(4x + 6) = -9x + -3(-12 + 2x) Reorder the terms: 6(6 + 4x) = -9x + -3(-12 + 2x) (6 * 6 + 4x * 6) = -9x + -3(-12 + 2x) (36 + 24x) = -9x + -3(-12 + 2x) 36 + 24x = -9x + (-12 * -3 + 2x * -3) 36 + 24x = -9x + (36 + -6x) Reorder the terms: 36 + 24x = 36 + -9x + -6x Combine like terms: -9x + -6x = -15x 36 + 24x = 36 + -15x Add '-36' to each side of the equation. 36 + -36 + 24x = 36 + -36 + -15x Combine like terms: 36 + -36 = 0 0 + 24x = 36 + -36 + -15x 24x = 36 + -36 + -15x Combine like terms: 36 + -36 = 0 24x = 0 + -15x 24x = -15x Solving 24x = -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 24x + 15x = -15x + 15x Combine like terms: 24x + 15x = 39x 39x = -15x + 15x Combine like terms: -15x + 15x = 0 39x = 0 Divide each side by '39'. x = 0 Simplifying x = 0
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