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Simplifying 4(3x + -2) = 4x + 10 + 3x + -1x Reorder the terms: 4(-2 + 3x) = 4x + 10 + 3x + -1x (-2 * 4 + 3x * 4) = 4x + 10 + 3x + -1x (-8 + 12x) = 4x + 10 + 3x + -1x Reorder the terms: -8 + 12x = 10 + 4x + 3x + -1x Combine like terms: 4x + 3x = 7x -8 + 12x = 10 + 7x + -1x Combine like terms: 7x + -1x = 6x -8 + 12x = 10 + 6x Solving -8 + 12x = 10 + 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. -8 + 12x + -6x = 10 + 6x + -6x Combine like terms: 12x + -6x = 6x -8 + 6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 6x = 10 + 0 -8 + 6x = 10 Add '8' to each side of the equation. -8 + 8 + 6x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 10 + 8 6x = 10 + 8 Combine like terms: 10 + 8 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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