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Simplifying -6x + -7(4 + 6x) = 5x + -28 -6x + (4 * -7 + 6x * -7) = 5x + -28 -6x + (-28 + -42x) = 5x + -28 Reorder the terms: -28 + -6x + -42x = 5x + -28 Combine like terms: -6x + -42x = -48x -28 + -48x = 5x + -28 Reorder the terms: -28 + -48x = -28 + 5x Add '28' to each side of the equation. -28 + 28 + -48x = -28 + 28 + 5x Combine like terms: -28 + 28 = 0 0 + -48x = -28 + 28 + 5x -48x = -28 + 28 + 5x Combine like terms: -28 + 28 = 0 -48x = 0 + 5x -48x = 5x Solving -48x = 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. -48x + -5x = 5x + -5x Combine like terms: -48x + -5x = -53x -53x = 5x + -5x Combine like terms: 5x + -5x = 0 -53x = 0 Divide each side by '-53'. x = 0 Simplifying x = 0
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