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Simplifying -116 = -7x + 4[-4x + 17] Reorder the terms: -116 = -7x + 4[17 + -4x] -116 = -7x + [17 * 4 + -4x * 4] -116 = -7x + [68 + -16x] Reorder the terms: -116 = 68 + -7x + -16x Combine like terms: -7x + -16x = -23x -116 = 68 + -23x Solving -116 = 68 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. -116 + 23x = 68 + -23x + 23x Combine like terms: -23x + 23x = 0 -116 + 23x = 68 + 0 -116 + 23x = 68 Add '116' to each side of the equation. -116 + 116 + 23x = 68 + 116 Combine like terms: -116 + 116 = 0 0 + 23x = 68 + 116 23x = 68 + 116 Combine like terms: 68 + 116 = 184 23x = 184 Divide each side by '23'. x = 8 Simplifying x = 8
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