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Simplifying -1x + 105 = 10x + -7 + 3x Reorder the terms: 105 + -1x = 10x + -7 + 3x Reorder the terms: 105 + -1x = -7 + 10x + 3x Combine like terms: 10x + 3x = 13x 105 + -1x = -7 + 13x Solving 105 + -1x = -7 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 105 + -1x + -13x = -7 + 13x + -13x Combine like terms: -1x + -13x = -14x 105 + -14x = -7 + 13x + -13x Combine like terms: 13x + -13x = 0 105 + -14x = -7 + 0 105 + -14x = -7 Add '-105' to each side of the equation. 105 + -105 + -14x = -7 + -105 Combine like terms: 105 + -105 = 0 0 + -14x = -7 + -105 -14x = -7 + -105 Combine like terms: -7 + -105 = -112 -14x = -112 Divide each side by '-14'. x = 8 Simplifying x = 8
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