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Simplifying 4x + -1(3x + 6) = 5x + -30 Reorder the terms: 4x + -1(6 + 3x) = 5x + -30 4x + (6 * -1 + 3x * -1) = 5x + -30 4x + (-6 + -3x) = 5x + -30 Reorder the terms: -6 + 4x + -3x = 5x + -30 Combine like terms: 4x + -3x = 1x -6 + 1x = 5x + -30 Reorder the terms: -6 + 1x = -30 + 5x Solving -6 + 1x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 1x + -5x = -30 + 5x + -5x Combine like terms: 1x + -5x = -4x -6 + -4x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -4x = -30 + 0 -6 + -4x = -30 Add '6' to each side of the equation. -6 + 6 + -4x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -30 + 6 -4x = -30 + 6 Combine like terms: -30 + 6 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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