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Simplifying 6X + -12 + 4X + -1 = X + 7X + 12 + 3X + 5 Reorder the terms: -12 + -1 + 6X + 4X = X + 7X + 12 + 3X + 5 Combine like terms: -12 + -1 = -13 -13 + 6X + 4X = X + 7X + 12 + 3X + 5 Combine like terms: 6X + 4X = 10X -13 + 10X = X + 7X + 12 + 3X + 5 Reorder the terms: -13 + 10X = 12 + 5 + X + 7X + 3X Combine like terms: 12 + 5 = 17 -13 + 10X = 17 + X + 7X + 3X Combine like terms: X + 7X = 8X -13 + 10X = 17 + 8X + 3X Combine like terms: 8X + 3X = 11X -13 + 10X = 17 + 11X Solving -13 + 10X = 17 + 11X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-11X' to each side of the equation. -13 + 10X + -11X = 17 + 11X + -11X Combine like terms: 10X + -11X = -1X -13 + -1X = 17 + 11X + -11X Combine like terms: 11X + -11X = 0 -13 + -1X = 17 + 0 -13 + -1X = 17 Add '13' to each side of the equation. -13 + 13 + -1X = 17 + 13 Combine like terms: -13 + 13 = 0 0 + -1X = 17 + 13 -1X = 17 + 13 Combine like terms: 17 + 13 = 30 -1X = 30 Divide each side by '-1'. X = -30 Simplifying X = -30
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