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Simplifying 5(3x + -4) + -3 = 5(x + -4) + 37 Reorder the terms: 5(-4 + 3x) + -3 = 5(x + -4) + 37 (-4 * 5 + 3x * 5) + -3 = 5(x + -4) + 37 (-20 + 15x) + -3 = 5(x + -4) + 37 Reorder the terms: -20 + -3 + 15x = 5(x + -4) + 37 Combine like terms: -20 + -3 = -23 -23 + 15x = 5(x + -4) + 37 Reorder the terms: -23 + 15x = 5(-4 + x) + 37 -23 + 15x = (-4 * 5 + x * 5) + 37 -23 + 15x = (-20 + 5x) + 37 Reorder the terms: -23 + 15x = -20 + 37 + 5x Combine like terms: -20 + 37 = 17 -23 + 15x = 17 + 5x Solving -23 + 15x = 17 + 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. -23 + 15x + -5x = 17 + 5x + -5x Combine like terms: 15x + -5x = 10x -23 + 10x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -23 + 10x = 17 + 0 -23 + 10x = 17 Add '23' to each side of the equation. -23 + 23 + 10x = 17 + 23 Combine like terms: -23 + 23 = 0 0 + 10x = 17 + 23 10x = 17 + 23 Combine like terms: 17 + 23 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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