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Simplifying 4(x + 6) = -3(3x + -4) + 4x Reorder the terms: 4(6 + x) = -3(3x + -4) + 4x (6 * 4 + x * 4) = -3(3x + -4) + 4x (24 + 4x) = -3(3x + -4) + 4x Reorder the terms: 24 + 4x = -3(-4 + 3x) + 4x 24 + 4x = (-4 * -3 + 3x * -3) + 4x 24 + 4x = (12 + -9x) + 4x Combine like terms: -9x + 4x = -5x 24 + 4x = 12 + -5x Solving 24 + 4x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 24 + 4x + 5x = 12 + -5x + 5x Combine like terms: 4x + 5x = 9x 24 + 9x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 24 + 9x = 12 + 0 24 + 9x = 12 Add '-24' to each side of the equation. 24 + -24 + 9x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = 12 + -24 9x = 12 + -24 Combine like terms: 12 + -24 = -12 9x = -12 Divide each side by '9'. x = -1.333333333 Simplifying x = -1.333333333
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