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Simplifying 5(x + -30) = 2(x + 2) Reorder the terms: 5(-30 + x) = 2(x + 2) (-30 * 5 + x * 5) = 2(x + 2) (-150 + 5x) = 2(x + 2) Reorder the terms: -150 + 5x = 2(2 + x) -150 + 5x = (2 * 2 + x * 2) -150 + 5x = (4 + 2x) Solving -150 + 5x = 4 + 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. -150 + 5x + -2x = 4 + 2x + -2x Combine like terms: 5x + -2x = 3x -150 + 3x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -150 + 3x = 4 + 0 -150 + 3x = 4 Add '150' to each side of the equation. -150 + 150 + 3x = 4 + 150 Combine like terms: -150 + 150 = 0 0 + 3x = 4 + 150 3x = 4 + 150 Combine like terms: 4 + 150 = 154 3x = 154 Divide each side by '3'. x = 51.33333333 Simplifying x = 51.33333333
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