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Simplifying 105 + -5x + -16 + -4x = 12x + 24 + -11x + -5 Reorder the terms: 105 + -16 + -5x + -4x = 12x + 24 + -11x + -5 Combine like terms: 105 + -16 = 89 89 + -5x + -4x = 12x + 24 + -11x + -5 Combine like terms: -5x + -4x = -9x 89 + -9x = 12x + 24 + -11x + -5 Reorder the terms: 89 + -9x = 24 + -5 + 12x + -11x Combine like terms: 24 + -5 = 19 89 + -9x = 19 + 12x + -11x Combine like terms: 12x + -11x = 1x 89 + -9x = 19 + 1x Solving 89 + -9x = 19 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 89 + -9x + -1x = 19 + 1x + -1x Combine like terms: -9x + -1x = -10x 89 + -10x = 19 + 1x + -1x Combine like terms: 1x + -1x = 0 89 + -10x = 19 + 0 89 + -10x = 19 Add '-89' to each side of the equation. 89 + -89 + -10x = 19 + -89 Combine like terms: 89 + -89 = 0 0 + -10x = 19 + -89 -10x = 19 + -89 Combine like terms: 19 + -89 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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