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Simplifying 3x + 101 + -4x + -33 = 108 + -16x + -10 Reorder the terms: 101 + -33 + 3x + -4x = 108 + -16x + -10 Combine like terms: 101 + -33 = 68 68 + 3x + -4x = 108 + -16x + -10 Combine like terms: 3x + -4x = -1x 68 + -1x = 108 + -16x + -10 Reorder the terms: 68 + -1x = 108 + -10 + -16x Combine like terms: 108 + -10 = 98 68 + -1x = 98 + -16x Solving 68 + -1x = 98 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 68 + -1x + 16x = 98 + -16x + 16x Combine like terms: -1x + 16x = 15x 68 + 15x = 98 + -16x + 16x Combine like terms: -16x + 16x = 0 68 + 15x = 98 + 0 68 + 15x = 98 Add '-68' to each side of the equation. 68 + -68 + 15x = 98 + -68 Combine like terms: 68 + -68 = 0 0 + 15x = 98 + -68 15x = 98 + -68 Combine like terms: 98 + -68 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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