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Simplifying 5x + -30 + 2x = 6x + -3 + -4 Reorder the terms: -30 + 5x + 2x = 6x + -3 + -4 Combine like terms: 5x + 2x = 7x -30 + 7x = 6x + -3 + -4 Reorder the terms: -30 + 7x = -3 + -4 + 6x Combine like terms: -3 + -4 = -7 -30 + 7x = -7 + 6x Solving -30 + 7x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 7x + -6x = -7 + 6x + -6x Combine like terms: 7x + -6x = 1x -30 + 1x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 1x = -7 + 0 -30 + 1x = -7 Add '30' to each side of the equation. -30 + 30 + 1x = -7 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = -7 + 30 1x = -7 + 30 Combine like terms: -7 + 30 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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