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Simplifying 6(x + -5) = -38 + 7x Reorder the terms: 6(-5 + x) = -38 + 7x (-5 * 6 + x * 6) = -38 + 7x (-30 + 6x) = -38 + 7x Solving -30 + 6x = -38 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -30 + 6x + -7x = -38 + 7x + -7x Combine like terms: 6x + -7x = -1x -30 + -1x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + -1x = -38 + 0 -30 + -1x = -38 Add '30' to each side of the equation. -30 + 30 + -1x = -38 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = -38 + 30 -1x = -38 + 30 Combine like terms: -38 + 30 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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