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Simplifying 5x + 4(x + -7) = 5(x + -4) Reorder the terms: 5x + 4(-7 + x) = 5(x + -4) 5x + (-7 * 4 + x * 4) = 5(x + -4) 5x + (-28 + 4x) = 5(x + -4) Reorder the terms: -28 + 5x + 4x = 5(x + -4) Combine like terms: 5x + 4x = 9x -28 + 9x = 5(x + -4) Reorder the terms: -28 + 9x = 5(-4 + x) -28 + 9x = (-4 * 5 + x * 5) -28 + 9x = (-20 + 5x) Solving -28 + 9x = -20 + 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 + 9x + -5x = -20 + 5x + -5x Combine like terms: 9x + -5x = 4x -28 + 4x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + 4x = -20 + 0 -28 + 4x = -20 Add '28' to each side of the equation. -28 + 28 + 4x = -20 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = -20 + 28 4x = -20 + 28 Combine like terms: -20 + 28 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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