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Simplifying 3(4x + -1) + -5(x + 7) = 3(x + 1) Reorder the terms: 3(-1 + 4x) + -5(x + 7) = 3(x + 1) (-1 * 3 + 4x * 3) + -5(x + 7) = 3(x + 1) (-3 + 12x) + -5(x + 7) = 3(x + 1) Reorder the terms: -3 + 12x + -5(7 + x) = 3(x + 1) -3 + 12x + (7 * -5 + x * -5) = 3(x + 1) -3 + 12x + (-35 + -5x) = 3(x + 1) Reorder the terms: -3 + -35 + 12x + -5x = 3(x + 1) Combine like terms: -3 + -35 = -38 -38 + 12x + -5x = 3(x + 1) Combine like terms: 12x + -5x = 7x -38 + 7x = 3(x + 1) Reorder the terms: -38 + 7x = 3(1 + x) -38 + 7x = (1 * 3 + x * 3) -38 + 7x = (3 + 3x) Solving -38 + 7x = 3 + 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. -38 + 7x + -3x = 3 + 3x + -3x Combine like terms: 7x + -3x = 4x -38 + 4x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + 4x = 3 + 0 -38 + 4x = 3 Add '38' to each side of the equation. -38 + 38 + 4x = 3 + 38 Combine like terms: -38 + 38 = 0 0 + 4x = 3 + 38 4x = 3 + 38 Combine like terms: 3 + 38 = 41 4x = 41 Divide each side by '4'. x = 10.25 Simplifying x = 10.25
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