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Simplifying -3(x + -2) + -1 = 5(x + 3) + 38 Reorder the terms: -3(-2 + x) + -1 = 5(x + 3) + 38 (-2 * -3 + x * -3) + -1 = 5(x + 3) + 38 (6 + -3x) + -1 = 5(x + 3) + 38 Reorder the terms: 6 + -1 + -3x = 5(x + 3) + 38 Combine like terms: 6 + -1 = 5 5 + -3x = 5(x + 3) + 38 Reorder the terms: 5 + -3x = 5(3 + x) + 38 5 + -3x = (3 * 5 + x * 5) + 38 5 + -3x = (15 + 5x) + 38 Reorder the terms: 5 + -3x = 15 + 38 + 5x Combine like terms: 15 + 38 = 53 5 + -3x = 53 + 5x Solving 5 + -3x = 53 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + -3x + -5x = 53 + 5x + -5x Combine like terms: -3x + -5x = -8x 5 + -8x = 53 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -8x = 53 + 0 5 + -8x = 53 Add '-5' to each side of the equation. 5 + -5 + -8x = 53 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 53 + -5 -8x = 53 + -5 Combine like terms: 53 + -5 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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