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Simplifying 5(3x + -4) = 4(x + 3) + -13 Reorder the terms: 5(-4 + 3x) = 4(x + 3) + -13 (-4 * 5 + 3x * 5) = 4(x + 3) + -13 (-20 + 15x) = 4(x + 3) + -13 Reorder the terms: -20 + 15x = 4(3 + x) + -13 -20 + 15x = (3 * 4 + x * 4) + -13 -20 + 15x = (12 + 4x) + -13 Reorder the terms: -20 + 15x = 12 + -13 + 4x Combine like terms: 12 + -13 = -1 -20 + 15x = -1 + 4x Solving -20 + 15x = -1 + 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. -20 + 15x + -4x = -1 + 4x + -4x Combine like terms: 15x + -4x = 11x -20 + 11x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 11x = -1 + 0 -20 + 11x = -1 Add '20' to each side of the equation. -20 + 20 + 11x = -1 + 20 Combine like terms: -20 + 20 = 0 0 + 11x = -1 + 20 11x = -1 + 20 Combine like terms: -1 + 20 = 19 11x = 19 Divide each side by '11'. x = 1.727272727 Simplifying x = 1.727272727
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