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Simplifying -9x + 8(7x + -6) = -6(-6x + -3) Reorder the terms: -9x + 8(-6 + 7x) = -6(-6x + -3) -9x + (-6 * 8 + 7x * 8) = -6(-6x + -3) -9x + (-48 + 56x) = -6(-6x + -3) Reorder the terms: -48 + -9x + 56x = -6(-6x + -3) Combine like terms: -9x + 56x = 47x -48 + 47x = -6(-6x + -3) Reorder the terms: -48 + 47x = -6(-3 + -6x) -48 + 47x = (-3 * -6 + -6x * -6) -48 + 47x = (18 + 36x) Solving -48 + 47x = 18 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -48 + 47x + -36x = 18 + 36x + -36x Combine like terms: 47x + -36x = 11x -48 + 11x = 18 + 36x + -36x Combine like terms: 36x + -36x = 0 -48 + 11x = 18 + 0 -48 + 11x = 18 Add '48' to each side of the equation. -48 + 48 + 11x = 18 + 48 Combine like terms: -48 + 48 = 0 0 + 11x = 18 + 48 11x = 18 + 48 Combine like terms: 18 + 48 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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