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Simplifying 6x + -7(3x + 4) = 5x + -8 Reorder the terms: 6x + -7(4 + 3x) = 5x + -8 6x + (4 * -7 + 3x * -7) = 5x + -8 6x + (-28 + -21x) = 5x + -8 Reorder the terms: -28 + 6x + -21x = 5x + -8 Combine like terms: 6x + -21x = -15x -28 + -15x = 5x + -8 Reorder the terms: -28 + -15x = -8 + 5x Solving -28 + -15x = -8 + 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. -28 + -15x + -5x = -8 + 5x + -5x Combine like terms: -15x + -5x = -20x -28 + -20x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + -20x = -8 + 0 -28 + -20x = -8 Add '28' to each side of the equation. -28 + 28 + -20x = -8 + 28 Combine like terms: -28 + 28 = 0 0 + -20x = -8 + 28 -20x = -8 + 28 Combine like terms: -8 + 28 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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