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Simplifying 7(3x + 1) + -4(5x + 2) = 5(3x + 6) Reorder the terms: 7(1 + 3x) + -4(5x + 2) = 5(3x + 6) (1 * 7 + 3x * 7) + -4(5x + 2) = 5(3x + 6) (7 + 21x) + -4(5x + 2) = 5(3x + 6) Reorder the terms: 7 + 21x + -4(2 + 5x) = 5(3x + 6) 7 + 21x + (2 * -4 + 5x * -4) = 5(3x + 6) 7 + 21x + (-8 + -20x) = 5(3x + 6) Reorder the terms: 7 + -8 + 21x + -20x = 5(3x + 6) Combine like terms: 7 + -8 = -1 -1 + 21x + -20x = 5(3x + 6) Combine like terms: 21x + -20x = 1x -1 + 1x = 5(3x + 6) Reorder the terms: -1 + 1x = 5(6 + 3x) -1 + 1x = (6 * 5 + 3x * 5) -1 + 1x = (30 + 15x) Solving -1 + 1x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -1 + 1x + -15x = 30 + 15x + -15x Combine like terms: 1x + -15x = -14x -1 + -14x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 -1 + -14x = 30 + 0 -1 + -14x = 30 Add '1' to each side of the equation. -1 + 1 + -14x = 30 + 1 Combine like terms: -1 + 1 = 0 0 + -14x = 30 + 1 -14x = 30 + 1 Combine like terms: 30 + 1 = 31 -14x = 31 Divide each side by '-14'. x = -2.214285714 Simplifying x = -2.214285714
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