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Simplifying 19x + -21 = 4(x + -5) + 7x + -1 Reorder the terms: -21 + 19x = 4(x + -5) + 7x + -1 Reorder the terms: -21 + 19x = 4(-5 + x) + 7x + -1 -21 + 19x = (-5 * 4 + x * 4) + 7x + -1 -21 + 19x = (-20 + 4x) + 7x + -1 Reorder the terms: -21 + 19x = -20 + -1 + 4x + 7x Combine like terms: -20 + -1 = -21 -21 + 19x = -21 + 4x + 7x Combine like terms: 4x + 7x = 11x -21 + 19x = -21 + 11x Add '21' to each side of the equation. -21 + 21 + 19x = -21 + 21 + 11x Combine like terms: -21 + 21 = 0 0 + 19x = -21 + 21 + 11x 19x = -21 + 21 + 11x Combine like terms: -21 + 21 = 0 19x = 0 + 11x 19x = 11x Solving 19x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 19x + -11x = 11x + -11x Combine like terms: 19x + -11x = 8x 8x = 11x + -11x Combine like terms: 11x + -11x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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