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Simplifying 6x + 3(2x + 4) = 4x + -2(3x + 1) Reorder the terms: 6x + 3(4 + 2x) = 4x + -2(3x + 1) 6x + (4 * 3 + 2x * 3) = 4x + -2(3x + 1) 6x + (12 + 6x) = 4x + -2(3x + 1) Reorder the terms: 12 + 6x + 6x = 4x + -2(3x + 1) Combine like terms: 6x + 6x = 12x 12 + 12x = 4x + -2(3x + 1) Reorder the terms: 12 + 12x = 4x + -2(1 + 3x) 12 + 12x = 4x + (1 * -2 + 3x * -2) 12 + 12x = 4x + (-2 + -6x) Reorder the terms: 12 + 12x = -2 + 4x + -6x Combine like terms: 4x + -6x = -2x 12 + 12x = -2 + -2x Solving 12 + 12x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 12x + 2x = -2 + -2x + 2x Combine like terms: 12x + 2x = 14x 12 + 14x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 14x = -2 + 0 12 + 14x = -2 Add '-12' to each side of the equation. 12 + -12 + 14x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = -2 + -12 14x = -2 + -12 Combine like terms: -2 + -12 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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