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Simplifying 6(x + 4) = -4x + 9 + -3(2 + -1x) Reorder the terms: 6(4 + x) = -4x + 9 + -3(2 + -1x) (4 * 6 + x * 6) = -4x + 9 + -3(2 + -1x) (24 + 6x) = -4x + 9 + -3(2 + -1x) 24 + 6x = -4x + 9 + (2 * -3 + -1x * -3) 24 + 6x = -4x + 9 + (-6 + 3x) Reorder the terms: 24 + 6x = 9 + -6 + -4x + 3x Combine like terms: 9 + -6 = 3 24 + 6x = 3 + -4x + 3x Combine like terms: -4x + 3x = -1x 24 + 6x = 3 + -1x Solving 24 + 6x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 24 + 6x + x = 3 + -1x + x Combine like terms: 6x + x = 7x 24 + 7x = 3 + -1x + x Combine like terms: -1x + x = 0 24 + 7x = 3 + 0 24 + 7x = 3 Add '-24' to each side of the equation. 24 + -24 + 7x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 3 + -24 7x = 3 + -24 Combine like terms: 3 + -24 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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