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