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Simplifying 7(5x + -4) + -3(5x + -8) = 62 + -5(4x + 7) Reorder the terms: 7(-4 + 5x) + -3(5x + -8) = 62 + -5(4x + 7) (-4 * 7 + 5x * 7) + -3(5x + -8) = 62 + -5(4x + 7) (-28 + 35x) + -3(5x + -8) = 62 + -5(4x + 7) Reorder the terms: -28 + 35x + -3(-8 + 5x) = 62 + -5(4x + 7) -28 + 35x + (-8 * -3 + 5x * -3) = 62 + -5(4x + 7) -28 + 35x + (24 + -15x) = 62 + -5(4x + 7) Reorder the terms: -28 + 24 + 35x + -15x = 62 + -5(4x + 7) Combine like terms: -28 + 24 = -4 -4 + 35x + -15x = 62 + -5(4x + 7) Combine like terms: 35x + -15x = 20x -4 + 20x = 62 + -5(4x + 7) Reorder the terms: -4 + 20x = 62 + -5(7 + 4x) -4 + 20x = 62 + (7 * -5 + 4x * -5) -4 + 20x = 62 + (-35 + -20x) Combine like terms: 62 + -35 = 27 -4 + 20x = 27 + -20x Solving -4 + 20x = 27 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -4 + 20x + 20x = 27 + -20x + 20x Combine like terms: 20x + 20x = 40x -4 + 40x = 27 + -20x + 20x Combine like terms: -20x + 20x = 0 -4 + 40x = 27 + 0 -4 + 40x = 27 Add '4' to each side of the equation. -4 + 4 + 40x = 27 + 4 Combine like terms: -4 + 4 = 0 0 + 40x = 27 + 4 40x = 27 + 4 Combine like terms: 27 + 4 = 31 40x = 31 Divide each side by '40'. x = 0.775 Simplifying x = 0.775
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