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Simplifying -1(3x + 1) + -4(4x + -7) = 4 + -1(3x + 2) Reorder the terms: -1(1 + 3x) + -4(4x + -7) = 4 + -1(3x + 2) (1 * -1 + 3x * -1) + -4(4x + -7) = 4 + -1(3x + 2) (-1 + -3x) + -4(4x + -7) = 4 + -1(3x + 2) Reorder the terms: -1 + -3x + -4(-7 + 4x) = 4 + -1(3x + 2) -1 + -3x + (-7 * -4 + 4x * -4) = 4 + -1(3x + 2) -1 + -3x + (28 + -16x) = 4 + -1(3x + 2) Reorder the terms: -1 + 28 + -3x + -16x = 4 + -1(3x + 2) Combine like terms: -1 + 28 = 27 27 + -3x + -16x = 4 + -1(3x + 2) Combine like terms: -3x + -16x = -19x 27 + -19x = 4 + -1(3x + 2) Reorder the terms: 27 + -19x = 4 + -1(2 + 3x) 27 + -19x = 4 + (2 * -1 + 3x * -1) 27 + -19x = 4 + (-2 + -3x) Combine like terms: 4 + -2 = 2 27 + -19x = 2 + -3x Solving 27 + -19x = 2 + -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. 27 + -19x + 3x = 2 + -3x + 3x Combine like terms: -19x + 3x = -16x 27 + -16x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 27 + -16x = 2 + 0 27 + -16x = 2 Add '-27' to each side of the equation. 27 + -27 + -16x = 2 + -27 Combine like terms: 27 + -27 = 0 0 + -16x = 2 + -27 -16x = 2 + -27 Combine like terms: 2 + -27 = -25 -16x = -25 Divide each side by '-16'. x = 1.5625 Simplifying x = 1.5625
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