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Simplifying 7(3x + -4) = 4(x + 5) + -15 Reorder the terms: 7(-4 + 3x) = 4(x + 5) + -15 (-4 * 7 + 3x * 7) = 4(x + 5) + -15 (-28 + 21x) = 4(x + 5) + -15 Reorder the terms: -28 + 21x = 4(5 + x) + -15 -28 + 21x = (5 * 4 + x * 4) + -15 -28 + 21x = (20 + 4x) + -15 Reorder the terms: -28 + 21x = 20 + -15 + 4x Combine like terms: 20 + -15 = 5 -28 + 21x = 5 + 4x Solving -28 + 21x = 5 + 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. -28 + 21x + -4x = 5 + 4x + -4x Combine like terms: 21x + -4x = 17x -28 + 17x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 17x = 5 + 0 -28 + 17x = 5 Add '28' to each side of the equation. -28 + 28 + 17x = 5 + 28 Combine like terms: -28 + 28 = 0 0 + 17x = 5 + 28 17x = 5 + 28 Combine like terms: 5 + 28 = 33 17x = 33 Divide each side by '17'. x = 1.941176471 Simplifying x = 1.941176471
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