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Simplifying 3(x + -8) + 4x = 3(2x + 3) Reorder the terms: 3(-8 + x) + 4x = 3(2x + 3) (-8 * 3 + x * 3) + 4x = 3(2x + 3) (-24 + 3x) + 4x = 3(2x + 3) Combine like terms: 3x + 4x = 7x -24 + 7x = 3(2x + 3) Reorder the terms: -24 + 7x = 3(3 + 2x) -24 + 7x = (3 * 3 + 2x * 3) -24 + 7x = (9 + 6x) Solving -24 + 7x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 7x + -6x = 9 + 6x + -6x Combine like terms: 7x + -6x = 1x -24 + 1x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 1x = 9 + 0 -24 + 1x = 9 Add '24' to each side of the equation. -24 + 24 + 1x = 9 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 9 + 24 1x = 9 + 24 Combine like terms: 9 + 24 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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