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Simplifying -13 = 5(3 + 4x) + 4(3x + -7) -13 = (3 * 5 + 4x * 5) + 4(3x + -7) -13 = (15 + 20x) + 4(3x + -7) Reorder the terms: -13 = 15 + 20x + 4(-7 + 3x) -13 = 15 + 20x + (-7 * 4 + 3x * 4) -13 = 15 + 20x + (-28 + 12x) Reorder the terms: -13 = 15 + -28 + 20x + 12x Combine like terms: 15 + -28 = -13 -13 = -13 + 20x + 12x Combine like terms: 20x + 12x = 32x -13 = -13 + 32x Add '13' to each side of the equation. -13 + 13 = -13 + 13 + 32x Combine like terms: -13 + 13 = 0 0 = -13 + 13 + 32x Combine like terms: -13 + 13 = 0 0 = 0 + 32x 0 = 32x Solving 0 = 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. 0 + -32x = 32x + -32x Remove the zero: -32x = 32x + -32x Combine like terms: 32x + -32x = 0 -32x = 0 Divide each side by '-32'. x = 0 Simplifying x = 0
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