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Simplifying 5x + -1(3x + 4) = 4x + -30 Reorder the terms: 5x + -1(4 + 3x) = 4x + -30 5x + (4 * -1 + 3x * -1) = 4x + -30 5x + (-4 + -3x) = 4x + -30 Reorder the terms: -4 + 5x + -3x = 4x + -30 Combine like terms: 5x + -3x = 2x -4 + 2x = 4x + -30 Reorder the terms: -4 + 2x = -30 + 4x Solving -4 + 2x = -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. -4 + 2x + -4x = -30 + 4x + -4x Combine like terms: 2x + -4x = -2x -4 + -2x = -30 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -2x = -30 + 0 -4 + -2x = -30 Add '4' to each side of the equation. -4 + 4 + -2x = -30 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -30 + 4 -2x = -30 + 4 Combine like terms: -30 + 4 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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