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Simplifying 6x + -3 + -2 + -1 + -34 + -22 = 3x + 78 + 23 + 45 + 32 Reorder the terms: -3 + -2 + -1 + -34 + -22 + 6x = 3x + 78 + 23 + 45 + 32 Combine like terms: -3 + -2 = -5 -5 + -1 + -34 + -22 + 6x = 3x + 78 + 23 + 45 + 32 Combine like terms: -5 + -1 = -6 -6 + -34 + -22 + 6x = 3x + 78 + 23 + 45 + 32 Combine like terms: -6 + -34 = -40 -40 + -22 + 6x = 3x + 78 + 23 + 45 + 32 Combine like terms: -40 + -22 = -62 -62 + 6x = 3x + 78 + 23 + 45 + 32 Reorder the terms: -62 + 6x = 78 + 23 + 45 + 32 + 3x Combine like terms: 78 + 23 = 101 -62 + 6x = 101 + 45 + 32 + 3x Combine like terms: 101 + 45 = 146 -62 + 6x = 146 + 32 + 3x Combine like terms: 146 + 32 = 178 -62 + 6x = 178 + 3x Solving -62 + 6x = 178 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -62 + 6x + -3x = 178 + 3x + -3x Combine like terms: 6x + -3x = 3x -62 + 3x = 178 + 3x + -3x Combine like terms: 3x + -3x = 0 -62 + 3x = 178 + 0 -62 + 3x = 178 Add '62' to each side of the equation. -62 + 62 + 3x = 178 + 62 Combine like terms: -62 + 62 = 0 0 + 3x = 178 + 62 3x = 178 + 62 Combine like terms: 178 + 62 = 240 3x = 240 Divide each side by '3'. x = 80 Simplifying x = 80
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