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Simplifying 2x + -3(x + 1) = 4x + -38 Reorder the terms: 2x + -3(1 + x) = 4x + -38 2x + (1 * -3 + x * -3) = 4x + -38 2x + (-3 + -3x) = 4x + -38 Reorder the terms: -3 + 2x + -3x = 4x + -38 Combine like terms: 2x + -3x = -1x -3 + -1x = 4x + -38 Reorder the terms: -3 + -1x = -38 + 4x Solving -3 + -1x = -38 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + -1x + -4x = -38 + 4x + -4x Combine like terms: -1x + -4x = -5x -3 + -5x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -5x = -38 + 0 -3 + -5x = -38 Add '3' to each side of the equation. -3 + 3 + -5x = -38 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -38 + 3 -5x = -38 + 3 Combine like terms: -38 + 3 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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