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Simplifying 17x + 13 + -1x + 139 = 100 + -16x + 14 + 13x Reorder the terms: 13 + 139 + 17x + -1x = 100 + -16x + 14 + 13x Combine like terms: 13 + 139 = 152 152 + 17x + -1x = 100 + -16x + 14 + 13x Combine like terms: 17x + -1x = 16x 152 + 16x = 100 + -16x + 14 + 13x Reorder the terms: 152 + 16x = 100 + 14 + -16x + 13x Combine like terms: 100 + 14 = 114 152 + 16x = 114 + -16x + 13x Combine like terms: -16x + 13x = -3x 152 + 16x = 114 + -3x Solving 152 + 16x = 114 + -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. 152 + 16x + 3x = 114 + -3x + 3x Combine like terms: 16x + 3x = 19x 152 + 19x = 114 + -3x + 3x Combine like terms: -3x + 3x = 0 152 + 19x = 114 + 0 152 + 19x = 114 Add '-152' to each side of the equation. 152 + -152 + 19x = 114 + -152 Combine like terms: 152 + -152 = 0 0 + 19x = 114 + -152 19x = 114 + -152 Combine like terms: 114 + -152 = -38 19x = -38 Divide each side by '19'. x = -2 Simplifying x = -2
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