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Simplifying -38 = -7x + 6(x + -5) Reorder the terms: -38 = -7x + 6(-5 + x) -38 = -7x + (-5 * 6 + x * 6) -38 = -7x + (-30 + 6x) Reorder the terms: -38 = -30 + -7x + 6x Combine like terms: -7x + 6x = -1x -38 = -30 + -1x Solving -38 = -30 + -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 + x = -30 + -1x + x Combine like terms: -1x + x = 0 -38 + x = -30 + 0 -38 + x = -30 Add '38' to each side of the equation. -38 + 38 + x = -30 + 38 Combine like terms: -38 + 38 = 0 0 + x = -30 + 38 x = -30 + 38 Combine like terms: -30 + 38 = 8 x = 8 Simplifying x = 8
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