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Simplifying 6x + -2(4x + 6) = x + 5 + -2x Reorder the terms: 6x + -2(6 + 4x) = x + 5 + -2x 6x + (6 * -2 + 4x * -2) = x + 5 + -2x 6x + (-12 + -8x) = x + 5 + -2x Reorder the terms: -12 + 6x + -8x = x + 5 + -2x Combine like terms: 6x + -8x = -2x -12 + -2x = x + 5 + -2x Reorder the terms: -12 + -2x = 5 + x + -2x Combine like terms: x + -2x = -1x -12 + -2x = 5 + -1x Solving -12 + -2x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + -2x + x = 5 + -1x + x Combine like terms: -2x + x = -1x -12 + -1x = 5 + -1x + x Combine like terms: -1x + x = 0 -12 + -1x = 5 + 0 -12 + -1x = 5 Add '12' to each side of the equation. -12 + 12 + -1x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 5 + 12 -1x = 5 + 12 Combine like terms: 5 + 12 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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