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