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Simplifying 8x + 6(x + -2) = -5(x + -4) + -1x + 8 Reorder the terms: 8x + 6(-2 + x) = -5(x + -4) + -1x + 8 8x + (-2 * 6 + x * 6) = -5(x + -4) + -1x + 8 8x + (-12 + 6x) = -5(x + -4) + -1x + 8 Reorder the terms: -12 + 8x + 6x = -5(x + -4) + -1x + 8 Combine like terms: 8x + 6x = 14x -12 + 14x = -5(x + -4) + -1x + 8 Reorder the terms: -12 + 14x = -5(-4 + x) + -1x + 8 -12 + 14x = (-4 * -5 + x * -5) + -1x + 8 -12 + 14x = (20 + -5x) + -1x + 8 Reorder the terms: -12 + 14x = 20 + 8 + -5x + -1x Combine like terms: 20 + 8 = 28 -12 + 14x = 28 + -5x + -1x Combine like terms: -5x + -1x = -6x -12 + 14x = 28 + -6x Solving -12 + 14x = 28 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 14x + 6x = 28 + -6x + 6x Combine like terms: 14x + 6x = 20x -12 + 20x = 28 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 20x = 28 + 0 -12 + 20x = 28 Add '12' to each side of the equation. -12 + 12 + 20x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = 28 + 12 20x = 28 + 12 Combine like terms: 28 + 12 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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