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Simplifying -12 + 8x = 6x + -6(-7x + 2) Reorder the terms: -12 + 8x = 6x + -6(2 + -7x) -12 + 8x = 6x + (2 * -6 + -7x * -6) -12 + 8x = 6x + (-12 + 42x) Reorder the terms: -12 + 8x = -12 + 6x + 42x Combine like terms: 6x + 42x = 48x -12 + 8x = -12 + 48x Add '12' to each side of the equation. -12 + 12 + 8x = -12 + 12 + 48x Combine like terms: -12 + 12 = 0 0 + 8x = -12 + 12 + 48x 8x = -12 + 12 + 48x Combine like terms: -12 + 12 = 0 8x = 0 + 48x 8x = 48x Solving 8x = 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 8x + -48x = 48x + -48x Combine like terms: 8x + -48x = -40x -40x = 48x + -48x Combine like terms: 48x + -48x = 0 -40x = 0 Divide each side by '-40'. x = 0.0 Simplifying x = 0.0
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