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Simplifying 4x + 4(3x + -2) = 14 + -6x Reorder the terms: 4x + 4(-2 + 3x) = 14 + -6x 4x + (-2 * 4 + 3x * 4) = 14 + -6x 4x + (-8 + 12x) = 14 + -6x Reorder the terms: -8 + 4x + 12x = 14 + -6x Combine like terms: 4x + 12x = 16x -8 + 16x = 14 + -6x Solving -8 + 16x = 14 + -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 + 16x + 6x = 14 + -6x + 6x Combine like terms: 16x + 6x = 22x -8 + 22x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 22x = 14 + 0 -8 + 22x = 14 Add '8' to each side of the equation. -8 + 8 + 22x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 22x = 14 + 8 22x = 14 + 8 Combine like terms: 14 + 8 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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