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Simplifying 5(3x + -3) + 13 = 4(x + 5) Reorder the terms: 5(-3 + 3x) + 13 = 4(x + 5) (-3 * 5 + 3x * 5) + 13 = 4(x + 5) (-15 + 15x) + 13 = 4(x + 5) Reorder the terms: -15 + 13 + 15x = 4(x + 5) Combine like terms: -15 + 13 = -2 -2 + 15x = 4(x + 5) Reorder the terms: -2 + 15x = 4(5 + x) -2 + 15x = (5 * 4 + x * 4) -2 + 15x = (20 + 4x) Solving -2 + 15x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 15x + -4x = 20 + 4x + -4x Combine like terms: 15x + -4x = 11x -2 + 11x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 11x = 20 + 0 -2 + 11x = 20 Add '2' to each side of the equation. -2 + 2 + 11x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 20 + 2 11x = 20 + 2 Combine like terms: 20 + 2 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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