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Simplifying 2(4x + -3) + -6(-7 + -1x) + -8 = 4 + 2x Reorder the terms: 2(-3 + 4x) + -6(-7 + -1x) + -8 = 4 + 2x (-3 * 2 + 4x * 2) + -6(-7 + -1x) + -8 = 4 + 2x (-6 + 8x) + -6(-7 + -1x) + -8 = 4 + 2x -6 + 8x + (-7 * -6 + -1x * -6) + -8 = 4 + 2x -6 + 8x + (42 + 6x) + -8 = 4 + 2x Reorder the terms: -6 + 42 + -8 + 8x + 6x = 4 + 2x Combine like terms: -6 + 42 = 36 36 + -8 + 8x + 6x = 4 + 2x Combine like terms: 36 + -8 = 28 28 + 8x + 6x = 4 + 2x Combine like terms: 8x + 6x = 14x 28 + 14x = 4 + 2x Solving 28 + 14x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 28 + 14x + -2x = 4 + 2x + -2x Combine like terms: 14x + -2x = 12x 28 + 12x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 12x = 4 + 0 28 + 12x = 4 Add '-28' to each side of the equation. 28 + -28 + 12x = 4 + -28 Combine like terms: 28 + -28 = 0 0 + 12x = 4 + -28 12x = 4 + -28 Combine like terms: 4 + -28 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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