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