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Simplifying 6(x + -4) * 2 + 4(x + -4) + -2 = 0 Reorder the terms: 6(-4 + x) * 2 + 4(x + -4) + -2 = 0 Reorder the terms for easier multiplication: 6 * 2(-4 + x) + 4(x + -4) + -2 = 0 Multiply 6 * 2 12(-4 + x) + 4(x + -4) + -2 = 0 (-4 * 12 + x * 12) + 4(x + -4) + -2 = 0 (-48 + 12x) + 4(x + -4) + -2 = 0 Reorder the terms: -48 + 12x + 4(-4 + x) + -2 = 0 -48 + 12x + (-4 * 4 + x * 4) + -2 = 0 -48 + 12x + (-16 + 4x) + -2 = 0 Reorder the terms: -48 + -16 + -2 + 12x + 4x = 0 Combine like terms: -48 + -16 = -64 -64 + -2 + 12x + 4x = 0 Combine like terms: -64 + -2 = -66 -66 + 12x + 4x = 0 Combine like terms: 12x + 4x = 16x -66 + 16x = 0 Solving -66 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 16x = 0 + 66 Combine like terms: -66 + 66 = 0 0 + 16x = 0 + 66 16x = 0 + 66 Combine like terms: 0 + 66 = 66 16x = 66 Divide each side by '16'. x = 4.125 Simplifying x = 4.125
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