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Simplifying -38 + x = 4x + -4(7x + -3) Reorder the terms: -38 + x = 4x + -4(-3 + 7x) -38 + x = 4x + (-3 * -4 + 7x * -4) -38 + x = 4x + (12 + -28x) Reorder the terms: -38 + x = 12 + 4x + -28x Combine like terms: 4x + -28x = -24x -38 + x = 12 + -24x Solving -38 + x = 12 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -38 + x + 24x = 12 + -24x + 24x Combine like terms: x + 24x = 25x -38 + 25x = 12 + -24x + 24x Combine like terms: -24x + 24x = 0 -38 + 25x = 12 + 0 -38 + 25x = 12 Add '38' to each side of the equation. -38 + 38 + 25x = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 25x = 12 + 38 25x = 12 + 38 Combine like terms: 12 + 38 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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