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Simplifying 3x + 12 + 90 = 4x + -10 + 70 Reorder the terms: 12 + 90 + 3x = 4x + -10 + 70 Combine like terms: 12 + 90 = 102 102 + 3x = 4x + -10 + 70 Reorder the terms: 102 + 3x = -10 + 70 + 4x Combine like terms: -10 + 70 = 60 102 + 3x = 60 + 4x Solving 102 + 3x = 60 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 102 + 3x + -4x = 60 + 4x + -4x Combine like terms: 3x + -4x = -1x 102 + -1x = 60 + 4x + -4x Combine like terms: 4x + -4x = 0 102 + -1x = 60 + 0 102 + -1x = 60 Add '-102' to each side of the equation. 102 + -102 + -1x = 60 + -102 Combine like terms: 102 + -102 = 0 0 + -1x = 60 + -102 -1x = 60 + -102 Combine like terms: 60 + -102 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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