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Simplifying 5(x + -3) + -7(2x + -1) = 4(x + 7) + -2(x + -5) Reorder the terms: 5(-3 + x) + -7(2x + -1) = 4(x + 7) + -2(x + -5) (-3 * 5 + x * 5) + -7(2x + -1) = 4(x + 7) + -2(x + -5) (-15 + 5x) + -7(2x + -1) = 4(x + 7) + -2(x + -5) Reorder the terms: -15 + 5x + -7(-1 + 2x) = 4(x + 7) + -2(x + -5) -15 + 5x + (-1 * -7 + 2x * -7) = 4(x + 7) + -2(x + -5) -15 + 5x + (7 + -14x) = 4(x + 7) + -2(x + -5) Reorder the terms: -15 + 7 + 5x + -14x = 4(x + 7) + -2(x + -5) Combine like terms: -15 + 7 = -8 -8 + 5x + -14x = 4(x + 7) + -2(x + -5) Combine like terms: 5x + -14x = -9x -8 + -9x = 4(x + 7) + -2(x + -5) Reorder the terms: -8 + -9x = 4(7 + x) + -2(x + -5) -8 + -9x = (7 * 4 + x * 4) + -2(x + -5) -8 + -9x = (28 + 4x) + -2(x + -5) Reorder the terms: -8 + -9x = 28 + 4x + -2(-5 + x) -8 + -9x = 28 + 4x + (-5 * -2 + x * -2) -8 + -9x = 28 + 4x + (10 + -2x) Reorder the terms: -8 + -9x = 28 + 10 + 4x + -2x Combine like terms: 28 + 10 = 38 -8 + -9x = 38 + 4x + -2x Combine like terms: 4x + -2x = 2x -8 + -9x = 38 + 2x Solving -8 + -9x = 38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + -9x + -2x = 38 + 2x + -2x Combine like terms: -9x + -2x = -11x -8 + -11x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -11x = 38 + 0 -8 + -11x = 38 Add '8' to each side of the equation. -8 + 8 + -11x = 38 + 8 Combine like terms: -8 + 8 = 0 0 + -11x = 38 + 8 -11x = 38 + 8 Combine like terms: 38 + 8 = 46 -11x = 46 Divide each side by '-11'. x = -4.181818182 Simplifying x = -4.181818182
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