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Simplifying 3X + -10 + 7X + -32 = 2X + 30 Reorder the terms: -10 + -32 + 3X + 7X = 2X + 30 Combine like terms: -10 + -32 = -42 -42 + 3X + 7X = 2X + 30 Combine like terms: 3X + 7X = 10X -42 + 10X = 2X + 30 Reorder the terms: -42 + 10X = 30 + 2X Solving -42 + 10X = 30 + 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. -42 + 10X + -2X = 30 + 2X + -2X Combine like terms: 10X + -2X = 8X -42 + 8X = 30 + 2X + -2X Combine like terms: 2X + -2X = 0 -42 + 8X = 30 + 0 -42 + 8X = 30 Add '42' to each side of the equation. -42 + 42 + 8X = 30 + 42 Combine like terms: -42 + 42 = 0 0 + 8X = 30 + 42 8X = 30 + 42 Combine like terms: 30 + 42 = 72 8X = 72 Divide each side by '8'. X = 9 Simplifying X = 9
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