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Simplifying 12(x + -10) + -11 = 16x + -179 Reorder the terms: 12(-10 + x) + -11 = 16x + -179 (-10 * 12 + x * 12) + -11 = 16x + -179 (-120 + 12x) + -11 = 16x + -179 Reorder the terms: -120 + -11 + 12x = 16x + -179 Combine like terms: -120 + -11 = -131 -131 + 12x = 16x + -179 Reorder the terms: -131 + 12x = -179 + 16x Solving -131 + 12x = -179 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -131 + 12x + -16x = -179 + 16x + -16x Combine like terms: 12x + -16x = -4x -131 + -4x = -179 + 16x + -16x Combine like terms: 16x + -16x = 0 -131 + -4x = -179 + 0 -131 + -4x = -179 Add '131' to each side of the equation. -131 + 131 + -4x = -179 + 131 Combine like terms: -131 + 131 = 0 0 + -4x = -179 + 131 -4x = -179 + 131 Combine like terms: -179 + 131 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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