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Simplifying 4x + 10 + -5 = 3 + -7 + 13x Reorder the terms: 10 + -5 + 4x = 3 + -7 + 13x Combine like terms: 10 + -5 = 5 5 + 4x = 3 + -7 + 13x Combine like terms: 3 + -7 = -4 5 + 4x = -4 + 13x Solving 5 + 4x = -4 + 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. 5 + 4x + -13x = -4 + 13x + -13x Combine like terms: 4x + -13x = -9x 5 + -9x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 5 + -9x = -4 + 0 5 + -9x = -4 Add '-5' to each side of the equation. 5 + -5 + -9x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -4 + -5 -9x = -4 + -5 Combine like terms: -4 + -5 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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