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Simplifying -4(4x + -5) + 1 = 3x + 40 Reorder the terms: -4(-5 + 4x) + 1 = 3x + 40 (-5 * -4 + 4x * -4) + 1 = 3x + 40 (20 + -16x) + 1 = 3x + 40 Reorder the terms: 20 + 1 + -16x = 3x + 40 Combine like terms: 20 + 1 = 21 21 + -16x = 3x + 40 Reorder the terms: 21 + -16x = 40 + 3x Solving 21 + -16x = 40 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 21 + -16x + -3x = 40 + 3x + -3x Combine like terms: -16x + -3x = -19x 21 + -19x = 40 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + -19x = 40 + 0 21 + -19x = 40 Add '-21' to each side of the equation. 21 + -21 + -19x = 40 + -21 Combine like terms: 21 + -21 = 0 0 + -19x = 40 + -21 -19x = 40 + -21 Combine like terms: 40 + -21 = 19 -19x = 19 Divide each side by '-19'. x = -1 Simplifying x = -1
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