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Simplifying -7(4x + 3) + 4(5 + -4x) = 5(7 + -8x) Reorder the terms: -7(3 + 4x) + 4(5 + -4x) = 5(7 + -8x) (3 * -7 + 4x * -7) + 4(5 + -4x) = 5(7 + -8x) (-21 + -28x) + 4(5 + -4x) = 5(7 + -8x) -21 + -28x + (5 * 4 + -4x * 4) = 5(7 + -8x) -21 + -28x + (20 + -16x) = 5(7 + -8x) Reorder the terms: -21 + 20 + -28x + -16x = 5(7 + -8x) Combine like terms: -21 + 20 = -1 -1 + -28x + -16x = 5(7 + -8x) Combine like terms: -28x + -16x = -44x -1 + -44x = 5(7 + -8x) -1 + -44x = (7 * 5 + -8x * 5) -1 + -44x = (35 + -40x) Solving -1 + -44x = 35 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -1 + -44x + 40x = 35 + -40x + 40x Combine like terms: -44x + 40x = -4x -1 + -4x = 35 + -40x + 40x Combine like terms: -40x + 40x = 0 -1 + -4x = 35 + 0 -1 + -4x = 35 Add '1' to each side of the equation. -1 + 1 + -4x = 35 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 35 + 1 -4x = 35 + 1 Combine like terms: 35 + 1 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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