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Simplifying -116 = -3x + 4(-1x + -8) Reorder the terms: -116 = -3x + 4(-8 + -1x) -116 = -3x + (-8 * 4 + -1x * 4) -116 = -3x + (-32 + -4x) Reorder the terms: -116 = -32 + -3x + -4x Combine like terms: -3x + -4x = -7x -116 = -32 + -7x Solving -116 = -32 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -116 + 7x = -32 + -7x + 7x Combine like terms: -7x + 7x = 0 -116 + 7x = -32 + 0 -116 + 7x = -32 Add '116' to each side of the equation. -116 + 116 + 7x = -32 + 116 Combine like terms: -116 + 116 = 0 0 + 7x = -32 + 116 7x = -32 + 116 Combine like terms: -32 + 116 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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