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Simplifying 3(2x + -4) + -2(4x + 14) = 6 + -4x Reorder the terms: 3(-4 + 2x) + -2(4x + 14) = 6 + -4x (-4 * 3 + 2x * 3) + -2(4x + 14) = 6 + -4x (-12 + 6x) + -2(4x + 14) = 6 + -4x Reorder the terms: -12 + 6x + -2(14 + 4x) = 6 + -4x -12 + 6x + (14 * -2 + 4x * -2) = 6 + -4x -12 + 6x + (-28 + -8x) = 6 + -4x Reorder the terms: -12 + -28 + 6x + -8x = 6 + -4x Combine like terms: -12 + -28 = -40 -40 + 6x + -8x = 6 + -4x Combine like terms: 6x + -8x = -2x -40 + -2x = 6 + -4x Solving -40 + -2x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -40 + -2x + 4x = 6 + -4x + 4x Combine like terms: -2x + 4x = 2x -40 + 2x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -40 + 2x = 6 + 0 -40 + 2x = 6 Add '40' to each side of the equation. -40 + 40 + 2x = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = 6 + 40 2x = 6 + 40 Combine like terms: 6 + 40 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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