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Simplifying 5(x + -90) = 2(x + -90) + 21 Reorder the terms: 5(-90 + x) = 2(x + -90) + 21 (-90 * 5 + x * 5) = 2(x + -90) + 21 (-450 + 5x) = 2(x + -90) + 21 Reorder the terms: -450 + 5x = 2(-90 + x) + 21 -450 + 5x = (-90 * 2 + x * 2) + 21 -450 + 5x = (-180 + 2x) + 21 Reorder the terms: -450 + 5x = -180 + 21 + 2x Combine like terms: -180 + 21 = -159 -450 + 5x = -159 + 2x Solving -450 + 5x = -159 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -450 + 5x + -2x = -159 + 2x + -2x Combine like terms: 5x + -2x = 3x -450 + 3x = -159 + 2x + -2x Combine like terms: 2x + -2x = 0 -450 + 3x = -159 + 0 -450 + 3x = -159 Add '450' to each side of the equation. -450 + 450 + 3x = -159 + 450 Combine like terms: -450 + 450 = 0 0 + 3x = -159 + 450 3x = -159 + 450 Combine like terms: -159 + 450 = 291 3x = 291 Divide each side by '3'. x = 97 Simplifying x = 97
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