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Simplifying 2x + -6 + 2x = 3(4x + -4) + 2 Reorder the terms: -6 + 2x + 2x = 3(4x + -4) + 2 Combine like terms: 2x + 2x = 4x -6 + 4x = 3(4x + -4) + 2 Reorder the terms: -6 + 4x = 3(-4 + 4x) + 2 -6 + 4x = (-4 * 3 + 4x * 3) + 2 -6 + 4x = (-12 + 12x) + 2 Reorder the terms: -6 + 4x = -12 + 2 + 12x Combine like terms: -12 + 2 = -10 -6 + 4x = -10 + 12x Solving -6 + 4x = -10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 4x + -12x = -10 + 12x + -12x Combine like terms: 4x + -12x = -8x -6 + -8x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -8x = -10 + 0 -6 + -8x = -10 Add '6' to each side of the equation. -6 + 6 + -8x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -10 + 6 -8x = -10 + 6 Combine like terms: -10 + 6 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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