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Simplifying 5(x + -7) + -1sx = x + -41 Reorder the terms: 5(-7 + x) + -1sx = x + -41 (-7 * 5 + x * 5) + -1sx = x + -41 (-35 + 5x) + -1sx = x + -41 Reorder the terms: -35 + -1sx + 5x = x + -41 Reorder the terms: -35 + -1sx + 5x = -41 + x Solving -35 + -1sx + 5x = -41 + x Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '35' to each side of the equation. -35 + -1sx + 35 + 5x = -41 + 35 + x Reorder the terms: -35 + 35 + -1sx + 5x = -41 + 35 + x Combine like terms: -35 + 35 = 0 0 + -1sx + 5x = -41 + 35 + x -1sx + 5x = -41 + 35 + x Combine like terms: -41 + 35 = -6 -1sx + 5x = -6 + x Add '-5x' to each side of the equation. -1sx + 5x + -5x = -6 + x + -5x Combine like terms: 5x + -5x = 0 -1sx + 0 = -6 + x + -5x -1sx = -6 + x + -5x Combine like terms: x + -5x = -4x -1sx = -6 + -4x Divide each side by '-1x'. s = 6x-1 + 4 Simplifying s = 6x-1 + 4 Reorder the terms: s = 4 + 6x-1
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