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