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Simplifying 280x + 220 = 300x + 10(x + -2) Reorder the terms: 220 + 280x = 300x + 10(x + -2) Reorder the terms: 220 + 280x = 300x + 10(-2 + x) 220 + 280x = 300x + (-2 * 10 + x * 10) 220 + 280x = 300x + (-20 + 10x) Reorder the terms: 220 + 280x = -20 + 300x + 10x Combine like terms: 300x + 10x = 310x 220 + 280x = -20 + 310x Solving 220 + 280x = -20 + 310x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-310x' to each side of the equation. 220 + 280x + -310x = -20 + 310x + -310x Combine like terms: 280x + -310x = -30x 220 + -30x = -20 + 310x + -310x Combine like terms: 310x + -310x = 0 220 + -30x = -20 + 0 220 + -30x = -20 Add '-220' to each side of the equation. 220 + -220 + -30x = -20 + -220 Combine like terms: 220 + -220 = 0 0 + -30x = -20 + -220 -30x = -20 + -220 Combine like terms: -20 + -220 = -240 -30x = -240 Divide each side by '-30'. x = 8 Simplifying x = 8
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