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Simplifying 13x + 100 = 4x + -5 + -6x Reorder the terms: 100 + 13x = 4x + -5 + -6x Reorder the terms: 100 + 13x = -5 + 4x + -6x Combine like terms: 4x + -6x = -2x 100 + 13x = -5 + -2x Solving 100 + 13x = -5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 100 + 13x + 2x = -5 + -2x + 2x Combine like terms: 13x + 2x = 15x 100 + 15x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 100 + 15x = -5 + 0 100 + 15x = -5 Add '-100' to each side of the equation. 100 + -100 + 15x = -5 + -100 Combine like terms: 100 + -100 = 0 0 + 15x = -5 + -100 15x = -5 + -100 Combine like terms: -5 + -100 = -105 15x = -105 Divide each side by '15'. x = -7 Simplifying x = -7
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