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Simplifying 4x + 6 = 7x + -30 Reorder the terms: 6 + 4x = 7x + -30 Reorder the terms: 6 + 4x = -30 + 7x Solving 6 + 4x = -30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 4x + -7x = -30 + 7x + -7x Combine like terms: 4x + -7x = -3x 6 + -3x = -30 + 7x + -7x Combine like terms: 7x + -7x = 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 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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