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Simplifying 4x + 19 = 13x + -71 Reorder the terms: 19 + 4x = 13x + -71 Reorder the terms: 19 + 4x = -71 + 13x Solving 19 + 4x = -71 + 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. 19 + 4x + -13x = -71 + 13x + -13x Combine like terms: 4x + -13x = -9x 19 + -9x = -71 + 13x + -13x Combine like terms: 13x + -13x = 0 19 + -9x = -71 + 0 19 + -9x = -71 Add '-19' to each side of the equation. 19 + -19 + -9x = -71 + -19 Combine like terms: 19 + -19 = 0 0 + -9x = -71 + -19 -9x = -71 + -19 Combine like terms: -71 + -19 = -90 -9x = -90 Divide each side by '-9'. x = 10 Simplifying x = 10
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