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Simplifying 5(3x + -7) + -4 = 5(x + -3) + 16 Reorder the terms: 5(-7 + 3x) + -4 = 5(x + -3) + 16 (-7 * 5 + 3x * 5) + -4 = 5(x + -3) + 16 (-35 + 15x) + -4 = 5(x + -3) + 16 Reorder the terms: -35 + -4 + 15x = 5(x + -3) + 16 Combine like terms: -35 + -4 = -39 -39 + 15x = 5(x + -3) + 16 Reorder the terms: -39 + 15x = 5(-3 + x) + 16 -39 + 15x = (-3 * 5 + x * 5) + 16 -39 + 15x = (-15 + 5x) + 16 Reorder the terms: -39 + 15x = -15 + 16 + 5x Combine like terms: -15 + 16 = 1 -39 + 15x = 1 + 5x Solving -39 + 15x = 1 + 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. -39 + 15x + -5x = 1 + 5x + -5x Combine like terms: 15x + -5x = 10x -39 + 10x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -39 + 10x = 1 + 0 -39 + 10x = 1 Add '39' to each side of the equation. -39 + 39 + 10x = 1 + 39 Combine like terms: -39 + 39 = 0 0 + 10x = 1 + 39 10x = 1 + 39 Combine like terms: 1 + 39 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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