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Simplifying (5x + -4) * 3 + -5(4 + -3x) * 5 = 7x + (3x + -4) * 7 Reorder the terms: (-4 + 5x) * 3 + -5(4 + -3x) * 5 = 7x + (3x + -4) * 7 Reorder the terms for easier multiplication: 3(-4 + 5x) + -5(4 + -3x) * 5 = 7x + (3x + -4) * 7 (-4 * 3 + 5x * 3) + -5(4 + -3x) * 5 = 7x + (3x + -4) * 7 (-12 + 15x) + -5(4 + -3x) * 5 = 7x + (3x + -4) * 7 Reorder the terms for easier multiplication: -12 + 15x + -5 * 5(4 + -3x) = 7x + (3x + -4) * 7 Multiply -5 * 5 -12 + 15x + -25(4 + -3x) = 7x + (3x + -4) * 7 -12 + 15x + (4 * -25 + -3x * -25) = 7x + (3x + -4) * 7 -12 + 15x + (-100 + 75x) = 7x + (3x + -4) * 7 Reorder the terms: -12 + -100 + 15x + 75x = 7x + (3x + -4) * 7 Combine like terms: -12 + -100 = -112 -112 + 15x + 75x = 7x + (3x + -4) * 7 Combine like terms: 15x + 75x = 90x -112 + 90x = 7x + (3x + -4) * 7 Reorder the terms: -112 + 90x = 7x + (-4 + 3x) * 7 Reorder the terms for easier multiplication: -112 + 90x = 7x + 7(-4 + 3x) -112 + 90x = 7x + (-4 * 7 + 3x * 7) -112 + 90x = 7x + (-28 + 21x) Reorder the terms: -112 + 90x = -28 + 7x + 21x Combine like terms: 7x + 21x = 28x -112 + 90x = -28 + 28x Solving -112 + 90x = -28 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -112 + 90x + -28x = -28 + 28x + -28x Combine like terms: 90x + -28x = 62x -112 + 62x = -28 + 28x + -28x Combine like terms: 28x + -28x = 0 -112 + 62x = -28 + 0 -112 + 62x = -28 Add '112' to each side of the equation. -112 + 112 + 62x = -28 + 112 Combine like terms: -112 + 112 = 0 0 + 62x = -28 + 112 62x = -28 + 112 Combine like terms: -28 + 112 = 84 62x = 84 Divide each side by '62'. x = 1.35483871 Simplifying x = 1.35483871
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