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Simplifying 2x + 30 = 3x + -10 + 7x + -32 Reorder the terms: 30 + 2x = 3x + -10 + 7x + -32 Reorder the terms: 30 + 2x = -10 + -32 + 3x + 7x Combine like terms: -10 + -32 = -42 30 + 2x = -42 + 3x + 7x Combine like terms: 3x + 7x = 10x 30 + 2x = -42 + 10x Solving 30 + 2x = -42 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 30 + 2x + -10x = -42 + 10x + -10x Combine like terms: 2x + -10x = -8x 30 + -8x = -42 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + -8x = -42 + 0 30 + -8x = -42 Add '-30' to each side of the equation. 30 + -30 + -8x = -42 + -30 Combine like terms: 30 + -30 = 0 0 + -8x = -42 + -30 -8x = -42 + -30 Combine like terms: -42 + -30 = -72 -8x = -72 Divide each side by '-8'. x = 9 Simplifying x = 9
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