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Simplifying 3x + 4(2x + -7) = 5x + -4 Reorder the terms: 3x + 4(-7 + 2x) = 5x + -4 3x + (-7 * 4 + 2x * 4) = 5x + -4 3x + (-28 + 8x) = 5x + -4 Reorder the terms: -28 + 3x + 8x = 5x + -4 Combine like terms: 3x + 8x = 11x -28 + 11x = 5x + -4 Reorder the terms: -28 + 11x = -4 + 5x Solving -28 + 11x = -4 + 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 + 11x + -5x = -4 + 5x + -5x Combine like terms: 11x + -5x = 6x -28 + 6x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + 6x = -4 + 0 -28 + 6x = -4 Add '28' to each side of the equation. -28 + 28 + 6x = -4 + 28 Combine like terms: -28 + 28 = 0 0 + 6x = -4 + 28 6x = -4 + 28 Combine like terms: -4 + 28 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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