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Simplifying 3x + -7 + 4x + 1 = 10x + -30 Reorder the terms: -7 + 1 + 3x + 4x = 10x + -30 Combine like terms: -7 + 1 = -6 -6 + 3x + 4x = 10x + -30 Combine like terms: 3x + 4x = 7x -6 + 7x = 10x + -30 Reorder the terms: -6 + 7x = -30 + 10x Solving -6 + 7x = -30 + 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. -6 + 7x + -10x = -30 + 10x + -10x Combine like terms: 7x + -10x = -3x -6 + -3x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -3x = -30 + 0 -6 + -3x = -30 Add '6' to each side of the equation. -6 + 6 + -3x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -30 + 6 -3x = -30 + 6 Combine like terms: -30 + 6 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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