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Simplifying 10x + -7 = 30x + 1 Reorder the terms: -7 + 10x = 30x + 1 Reorder the terms: -7 + 10x = 1 + 30x Solving -7 + 10x = 1 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -7 + 10x + -30x = 1 + 30x + -30x Combine like terms: 10x + -30x = -20x -7 + -20x = 1 + 30x + -30x Combine like terms: 30x + -30x = 0 -7 + -20x = 1 + 0 -7 + -20x = 1 Add '7' to each side of the equation. -7 + 7 + -20x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -20x = 1 + 7 -20x = 1 + 7 Combine like terms: 1 + 7 = 8 -20x = 8 Divide each side by '-20'. x = -0.4 Simplifying x = -0.4
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