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Simplifying -16 + 6(x + -5) = -6 + 2(5x + -2) Reorder the terms: -16 + 6(-5 + x) = -6 + 2(5x + -2) -16 + (-5 * 6 + x * 6) = -6 + 2(5x + -2) -16 + (-30 + 6x) = -6 + 2(5x + -2) Combine like terms: -16 + -30 = -46 -46 + 6x = -6 + 2(5x + -2) Reorder the terms: -46 + 6x = -6 + 2(-2 + 5x) -46 + 6x = -6 + (-2 * 2 + 5x * 2) -46 + 6x = -6 + (-4 + 10x) Combine like terms: -6 + -4 = -10 -46 + 6x = -10 + 10x Solving -46 + 6x = -10 + 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. -46 + 6x + -10x = -10 + 10x + -10x Combine like terms: 6x + -10x = -4x -46 + -4x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 -46 + -4x = -10 + 0 -46 + -4x = -10 Add '46' to each side of the equation. -46 + 46 + -4x = -10 + 46 Combine like terms: -46 + 46 = 0 0 + -4x = -10 + 46 -4x = -10 + 46 Combine like terms: -10 + 46 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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