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Simplifying -38 + -3x = -5x + 6(x + -1) Reorder the terms: -38 + -3x = -5x + 6(-1 + x) -38 + -3x = -5x + (-1 * 6 + x * 6) -38 + -3x = -5x + (-6 + 6x) Reorder the terms: -38 + -3x = -6 + -5x + 6x Combine like terms: -5x + 6x = 1x -38 + -3x = -6 + 1x Solving -38 + -3x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -38 + -3x + -1x = -6 + 1x + -1x Combine like terms: -3x + -1x = -4x -38 + -4x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 -38 + -4x = -6 + 0 -38 + -4x = -6 Add '38' to each side of the equation. -38 + 38 + -4x = -6 + 38 Combine like terms: -38 + 38 = 0 0 + -4x = -6 + 38 -4x = -6 + 38 Combine like terms: -6 + 38 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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