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Simplifying -116 = 4x + 2(-6x + -10) Reorder the terms: -116 = 4x + 2(-10 + -6x) -116 = 4x + (-10 * 2 + -6x * 2) -116 = 4x + (-20 + -12x) Reorder the terms: -116 = -20 + 4x + -12x Combine like terms: 4x + -12x = -8x -116 = -20 + -8x Solving -116 = -20 + -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. -116 + 8x = -20 + -8x + 8x Combine like terms: -8x + 8x = 0 -116 + 8x = -20 + 0 -116 + 8x = -20 Add '116' to each side of the equation. -116 + 116 + 8x = -20 + 116 Combine like terms: -116 + 116 = 0 0 + 8x = -20 + 116 8x = -20 + 116 Combine like terms: -20 + 116 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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