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Simplifying 2(4x + -8) + 2 = 10x + -5 Reorder the terms: 2(-8 + 4x) + 2 = 10x + -5 (-8 * 2 + 4x * 2) + 2 = 10x + -5 (-16 + 8x) + 2 = 10x + -5 Reorder the terms: -16 + 2 + 8x = 10x + -5 Combine like terms: -16 + 2 = -14 -14 + 8x = 10x + -5 Reorder the terms: -14 + 8x = -5 + 10x Solving -14 + 8x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -14 + 8x + -10x = -5 + 10x + -10x Combine like terms: 8x + -10x = -2x -14 + -2x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -2x = -5 + 0 -14 + -2x = -5 Add '14' to each side of the equation. -14 + 14 + -2x = -5 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = -5 + 14 -2x = -5 + 14 Combine like terms: -5 + 14 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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