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Simplifying 5(-2x + -10) + -10 = 2(-4x + -16) Reorder the terms: 5(-10 + -2x) + -10 = 2(-4x + -16) (-10 * 5 + -2x * 5) + -10 = 2(-4x + -16) (-50 + -10x) + -10 = 2(-4x + -16) Reorder the terms: -50 + -10 + -10x = 2(-4x + -16) Combine like terms: -50 + -10 = -60 -60 + -10x = 2(-4x + -16) Reorder the terms: -60 + -10x = 2(-16 + -4x) -60 + -10x = (-16 * 2 + -4x * 2) -60 + -10x = (-32 + -8x) Solving -60 + -10x = -32 + -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. -60 + -10x + 8x = -32 + -8x + 8x Combine like terms: -10x + 8x = -2x -60 + -2x = -32 + -8x + 8x Combine like terms: -8x + 8x = 0 -60 + -2x = -32 + 0 -60 + -2x = -32 Add '60' to each side of the equation. -60 + 60 + -2x = -32 + 60 Combine like terms: -60 + 60 = 0 0 + -2x = -32 + 60 -2x = -32 + 60 Combine like terms: -32 + 60 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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