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Simplifying 107 = (4x + 27) + (9x + -115) Reorder the terms: 107 = (27 + 4x) + (9x + -115) Remove parenthesis around (27 + 4x) 107 = 27 + 4x + (9x + -115) Reorder the terms: 107 = 27 + 4x + (-115 + 9x) Remove parenthesis around (-115 + 9x) 107 = 27 + 4x + -115 + 9x Reorder the terms: 107 = 27 + -115 + 4x + 9x Combine like terms: 27 + -115 = -88 107 = -88 + 4x + 9x Combine like terms: 4x + 9x = 13x 107 = -88 + 13x Solving 107 = -88 + 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. 107 + -13x = -88 + 13x + -13x Combine like terms: 13x + -13x = 0 107 + -13x = -88 + 0 107 + -13x = -88 Add '-107' to each side of the equation. 107 + -107 + -13x = -88 + -107 Combine like terms: 107 + -107 = 0 0 + -13x = -88 + -107 -13x = -88 + -107 Combine like terms: -88 + -107 = -195 -13x = -195 Divide each side by '-13'. x = 15 Simplifying x = 15
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