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Simplifying -1 + 7(2x + -3) = 4(3x + -5) Reorder the terms: -1 + 7(-3 + 2x) = 4(3x + -5) -1 + (-3 * 7 + 2x * 7) = 4(3x + -5) -1 + (-21 + 14x) = 4(3x + -5) Combine like terms: -1 + -21 = -22 -22 + 14x = 4(3x + -5) Reorder the terms: -22 + 14x = 4(-5 + 3x) -22 + 14x = (-5 * 4 + 3x * 4) -22 + 14x = (-20 + 12x) Solving -22 + 14x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -22 + 14x + -12x = -20 + 12x + -12x Combine like terms: 14x + -12x = 2x -22 + 2x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -22 + 2x = -20 + 0 -22 + 2x = -20 Add '22' to each side of the equation. -22 + 22 + 2x = -20 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = -20 + 22 2x = -20 + 22 Combine like terms: -20 + 22 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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