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Simplifying 3x + 101 + -4x + -33 = 108 + -16x + -109 Reorder the terms: 101 + -33 + 3x + -4x = 108 + -16x + -109 Combine like terms: 101 + -33 = 68 68 + 3x + -4x = 108 + -16x + -109 Combine like terms: 3x + -4x = -1x 68 + -1x = 108 + -16x + -109 Reorder the terms: 68 + -1x = 108 + -109 + -16x Combine like terms: 108 + -109 = -1 68 + -1x = -1 + -16x Solving 68 + -1x = -1 + -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 = -1 + -16x + 16x Combine like terms: -1x + 16x = 15x 68 + 15x = -1 + -16x + 16x Combine like terms: -16x + 16x = 0 68 + 15x = -1 + 0 68 + 15x = -1 Add '-68' to each side of the equation. 68 + -68 + 15x = -1 + -68 Combine like terms: 68 + -68 = 0 0 + 15x = -1 + -68 15x = -1 + -68 Combine like terms: -1 + -68 = -69 15x = -69 Divide each side by '15'. x = -4.6 Simplifying x = -4.6
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