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