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Simplifying 6 + -2(8x + 2) + 10x = 22 + -4x + -3(-4x + 2) Reorder the terms: 6 + -2(2 + 8x) + 10x = 22 + -4x + -3(-4x + 2) 6 + (2 * -2 + 8x * -2) + 10x = 22 + -4x + -3(-4x + 2) 6 + (-4 + -16x) + 10x = 22 + -4x + -3(-4x + 2) Combine like terms: 6 + -4 = 2 2 + -16x + 10x = 22 + -4x + -3(-4x + 2) Combine like terms: -16x + 10x = -6x 2 + -6x = 22 + -4x + -3(-4x + 2) Reorder the terms: 2 + -6x = 22 + -4x + -3(2 + -4x) 2 + -6x = 22 + -4x + (2 * -3 + -4x * -3) 2 + -6x = 22 + -4x + (-6 + 12x) Reorder the terms: 2 + -6x = 22 + -6 + -4x + 12x Combine like terms: 22 + -6 = 16 2 + -6x = 16 + -4x + 12x Combine like terms: -4x + 12x = 8x 2 + -6x = 16 + 8x Solving 2 + -6x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -6x + -8x = 16 + 8x + -8x Combine like terms: -6x + -8x = -14x 2 + -14x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -14x = 16 + 0 2 + -14x = 16 Add '-2' to each side of the equation. 2 + -2 + -14x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -14x = 16 + -2 -14x = 16 + -2 Combine like terms: 16 + -2 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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