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Simplifying 7(5x + -3) + 4(1x + -1) = 4(x + -7) Reorder the terms: 7(-3 + 5x) + 4(1x + -1) = 4(x + -7) (-3 * 7 + 5x * 7) + 4(1x + -1) = 4(x + -7) (-21 + 35x) + 4(1x + -1) = 4(x + -7) Reorder the terms: -21 + 35x + 4(-1 + 1x) = 4(x + -7) -21 + 35x + (-1 * 4 + 1x * 4) = 4(x + -7) -21 + 35x + (-4 + 4x) = 4(x + -7) Reorder the terms: -21 + -4 + 35x + 4x = 4(x + -7) Combine like terms: -21 + -4 = -25 -25 + 35x + 4x = 4(x + -7) Combine like terms: 35x + 4x = 39x -25 + 39x = 4(x + -7) Reorder the terms: -25 + 39x = 4(-7 + x) -25 + 39x = (-7 * 4 + x * 4) -25 + 39x = (-28 + 4x) Solving -25 + 39x = -28 + 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. -25 + 39x + -4x = -28 + 4x + -4x Combine like terms: 39x + -4x = 35x -25 + 35x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + 35x = -28 + 0 -25 + 35x = -28 Add '25' to each side of the equation. -25 + 25 + 35x = -28 + 25 Combine like terms: -25 + 25 = 0 0 + 35x = -28 + 25 35x = -28 + 25 Combine like terms: -28 + 25 = -3 35x = -3 Divide each side by '35'. x = -0.08571428571 Simplifying x = -0.08571428571
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