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Simplifying 116 = 6x + -4(-6x + 16) Reorder the terms: 116 = 6x + -4(16 + -6x) 116 = 6x + (16 * -4 + -6x * -4) 116 = 6x + (-64 + 24x) Reorder the terms: 116 = -64 + 6x + 24x Combine like terms: 6x + 24x = 30x 116 = -64 + 30x Solving 116 = -64 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 116 + -30x = -64 + 30x + -30x Combine like terms: 30x + -30x = 0 116 + -30x = -64 + 0 116 + -30x = -64 Add '-116' to each side of the equation. 116 + -116 + -30x = -64 + -116 Combine like terms: 116 + -116 = 0 0 + -30x = -64 + -116 -30x = -64 + -116 Combine like terms: -64 + -116 = -180 -30x = -180 Divide each side by '-30'. x = 6 Simplifying x = 6
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