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Simplifying 7 + -9x + -2 = -46 + 7x + -13 Reorder the terms: 7 + -2 + -9x = -46 + 7x + -13 Combine like terms: 7 + -2 = 5 5 + -9x = -46 + 7x + -13 Reorder the terms: 5 + -9x = -46 + -13 + 7x Combine like terms: -46 + -13 = -59 5 + -9x = -59 + 7x Solving 5 + -9x = -59 + 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. 5 + -9x + -7x = -59 + 7x + -7x Combine like terms: -9x + -7x = -16x 5 + -16x = -59 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -16x = -59 + 0 5 + -16x = -59 Add '-5' to each side of the equation. 5 + -5 + -16x = -59 + -5 Combine like terms: 5 + -5 = 0 0 + -16x = -59 + -5 -16x = -59 + -5 Combine like terms: -59 + -5 = -64 -16x = -64 Divide each side by '-16'. x = 4 Simplifying x = 4
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