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