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Simplifying 4x + -48 = -5(x + 6) Reorder the terms: -48 + 4x = -5(x + 6) Reorder the terms: -48 + 4x = -5(6 + x) -48 + 4x = (6 * -5 + x * -5) -48 + 4x = (-30 + -5x) Solving -48 + 4x = -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. -48 + 4x + 5x = -30 + -5x + 5x Combine like terms: 4x + 5x = 9x -48 + 9x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 -48 + 9x = -30 + 0 -48 + 9x = -30 Add '48' to each side of the equation. -48 + 48 + 9x = -30 + 48 Combine like terms: -48 + 48 = 0 0 + 9x = -30 + 48 9x = -30 + 48 Combine like terms: -30 + 48 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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