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