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Simplifying 6(4x + 8) = -9(x + -3) Reorder the terms: 6(8 + 4x) = -9(x + -3) (8 * 6 + 4x * 6) = -9(x + -3) (48 + 24x) = -9(x + -3) Reorder the terms: 48 + 24x = -9(-3 + x) 48 + 24x = (-3 * -9 + x * -9) 48 + 24x = (27 + -9x) Solving 48 + 24x = 27 + -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. 48 + 24x + 9x = 27 + -9x + 9x Combine like terms: 24x + 9x = 33x 48 + 33x = 27 + -9x + 9x Combine like terms: -9x + 9x = 0 48 + 33x = 27 + 0 48 + 33x = 27 Add '-48' to each side of the equation. 48 + -48 + 33x = 27 + -48 Combine like terms: 48 + -48 = 0 0 + 33x = 27 + -48 33x = 27 + -48 Combine like terms: 27 + -48 = -21 33x = -21 Divide each side by '33'. x = -0.6363636364 Simplifying x = -0.6363636364
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