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Simplifying 7(2x + -1) + 4(3x + -7) = 32 + 6(x + 2) Reorder the terms: 7(-1 + 2x) + 4(3x + -7) = 32 + 6(x + 2) (-1 * 7 + 2x * 7) + 4(3x + -7) = 32 + 6(x + 2) (-7 + 14x) + 4(3x + -7) = 32 + 6(x + 2) Reorder the terms: -7 + 14x + 4(-7 + 3x) = 32 + 6(x + 2) -7 + 14x + (-7 * 4 + 3x * 4) = 32 + 6(x + 2) -7 + 14x + (-28 + 12x) = 32 + 6(x + 2) Reorder the terms: -7 + -28 + 14x + 12x = 32 + 6(x + 2) Combine like terms: -7 + -28 = -35 -35 + 14x + 12x = 32 + 6(x + 2) Combine like terms: 14x + 12x = 26x -35 + 26x = 32 + 6(x + 2) Reorder the terms: -35 + 26x = 32 + 6(2 + x) -35 + 26x = 32 + (2 * 6 + x * 6) -35 + 26x = 32 + (12 + 6x) Combine like terms: 32 + 12 = 44 -35 + 26x = 44 + 6x Solving -35 + 26x = 44 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + 26x + -6x = 44 + 6x + -6x Combine like terms: 26x + -6x = 20x -35 + 20x = 44 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + 20x = 44 + 0 -35 + 20x = 44 Add '35' to each side of the equation. -35 + 35 + 20x = 44 + 35 Combine like terms: -35 + 35 = 0 0 + 20x = 44 + 35 20x = 44 + 35 Combine like terms: 44 + 35 = 79 20x = 79 Divide each side by '20'. x = 3.95 Simplifying x = 3.95
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