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Simplifying 4(3x + -5) + -8x = 7x + 1 Reorder the terms: 4(-5 + 3x) + -8x = 7x + 1 (-5 * 4 + 3x * 4) + -8x = 7x + 1 (-20 + 12x) + -8x = 7x + 1 Combine like terms: 12x + -8x = 4x -20 + 4x = 7x + 1 Reorder the terms: -20 + 4x = 1 + 7x Solving -20 + 4x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + 4x + -7x = 1 + 7x + -7x Combine like terms: 4x + -7x = -3x -20 + -3x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -3x = 1 + 0 -20 + -3x = 1 Add '20' to each side of the equation. -20 + 20 + -3x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 1 + 20 -3x = 1 + 20 Combine like terms: 1 + 20 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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