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Simplifying -6x + 4 = -5(x + 2) + 8 Reorder the terms: 4 + -6x = -5(x + 2) + 8 Reorder the terms: 4 + -6x = -5(2 + x) + 8 4 + -6x = (2 * -5 + x * -5) + 8 4 + -6x = (-10 + -5x) + 8 Reorder the terms: 4 + -6x = -10 + 8 + -5x Combine like terms: -10 + 8 = -2 4 + -6x = -2 + -5x Solving 4 + -6x = -2 + -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. 4 + -6x + 5x = -2 + -5x + 5x Combine like terms: -6x + 5x = -1x 4 + -1x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + -1x = -2 + 0 4 + -1x = -2 Add '-4' to each side of the equation. 4 + -4 + -1x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -2 + -4 -1x = -2 + -4 Combine like terms: -2 + -4 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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