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Simplifying 5x + -13 = 4(6 + -7x) + -4x Reorder the terms: -13 + 5x = 4(6 + -7x) + -4x -13 + 5x = (6 * 4 + -7x * 4) + -4x -13 + 5x = (24 + -28x) + -4x Combine like terms: -28x + -4x = -32x -13 + 5x = 24 + -32x Solving -13 + 5x = 24 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -13 + 5x + 32x = 24 + -32x + 32x Combine like terms: 5x + 32x = 37x -13 + 37x = 24 + -32x + 32x Combine like terms: -32x + 32x = 0 -13 + 37x = 24 + 0 -13 + 37x = 24 Add '13' to each side of the equation. -13 + 13 + 37x = 24 + 13 Combine like terms: -13 + 13 = 0 0 + 37x = 24 + 13 37x = 24 + 13 Combine like terms: 24 + 13 = 37 37x = 37 Divide each side by '37'. x = 1 Simplifying x = 1
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