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Simplifying 19x + -21 = -1(4x + -71) Reorder the terms: -21 + 19x = -1(4x + -71) Reorder the terms: -21 + 19x = -1(-71 + 4x) -21 + 19x = (-71 * -1 + 4x * -1) -21 + 19x = (71 + -4x) Solving -21 + 19x = 71 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -21 + 19x + 4x = 71 + -4x + 4x Combine like terms: 19x + 4x = 23x -21 + 23x = 71 + -4x + 4x Combine like terms: -4x + 4x = 0 -21 + 23x = 71 + 0 -21 + 23x = 71 Add '21' to each side of the equation. -21 + 21 + 23x = 71 + 21 Combine like terms: -21 + 21 = 0 0 + 23x = 71 + 21 23x = 71 + 21 Combine like terms: 71 + 21 = 92 23x = 92 Divide each side by '23'. x = 4 Simplifying x = 4
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