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Simplifying -14 + 1x + 30 = 14x + 28 + 1 Reorder the terms: -14 + 30 + 1x = 14x + 28 + 1 Combine like terms: -14 + 30 = 16 16 + 1x = 14x + 28 + 1 Reorder the terms: 16 + 1x = 28 + 1 + 14x Combine like terms: 28 + 1 = 29 16 + 1x = 29 + 14x Solving 16 + 1x = 29 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 16 + 1x + -14x = 29 + 14x + -14x Combine like terms: 1x + -14x = -13x 16 + -13x = 29 + 14x + -14x Combine like terms: 14x + -14x = 0 16 + -13x = 29 + 0 16 + -13x = 29 Add '-16' to each side of the equation. 16 + -16 + -13x = 29 + -16 Combine like terms: 16 + -16 = 0 0 + -13x = 29 + -16 -13x = 29 + -16 Combine like terms: 29 + -16 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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