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Simplifying 4(2x + -5) = 7(3x + -1) Reorder the terms: 4(-5 + 2x) = 7(3x + -1) (-5 * 4 + 2x * 4) = 7(3x + -1) (-20 + 8x) = 7(3x + -1) Reorder the terms: -20 + 8x = 7(-1 + 3x) -20 + 8x = (-1 * 7 + 3x * 7) -20 + 8x = (-7 + 21x) Solving -20 + 8x = -7 + 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. -20 + 8x + -21x = -7 + 21x + -21x Combine like terms: 8x + -21x = -13x -20 + -13x = -7 + 21x + -21x Combine like terms: 21x + -21x = 0 -20 + -13x = -7 + 0 -20 + -13x = -7 Add '20' to each side of the equation. -20 + 20 + -13x = -7 + 20 Combine like terms: -20 + 20 = 0 0 + -13x = -7 + 20 -13x = -7 + 20 Combine like terms: -7 + 20 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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