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Simplifying 3x + -4(-4x + -2) + -19 = 21x + -17 Reorder the terms: 3x + -4(-2 + -4x) + -19 = 21x + -17 3x + (-2 * -4 + -4x * -4) + -19 = 21x + -17 3x + (8 + 16x) + -19 = 21x + -17 Reorder the terms: 8 + -19 + 3x + 16x = 21x + -17 Combine like terms: 8 + -19 = -11 -11 + 3x + 16x = 21x + -17 Combine like terms: 3x + 16x = 19x -11 + 19x = 21x + -17 Reorder the terms: -11 + 19x = -17 + 21x Solving -11 + 19x = -17 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -11 + 19x + -21x = -17 + 21x + -21x Combine like terms: 19x + -21x = -2x -11 + -2x = -17 + 21x + -21x Combine like terms: 21x + -21x = 0 -11 + -2x = -17 + 0 -11 + -2x = -17 Add '11' to each side of the equation. -11 + 11 + -2x = -17 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -17 + 11 -2x = -17 + 11 Combine like terms: -17 + 11 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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