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Simplifying 3a + 5x + -7 = 3x + bx Reorder the terms: -7 + 3a + 5x = 3x + bx Reorder the terms: -7 + 3a + 5x = bx + 3x Solving -7 + 3a + 5x = bx + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 3a + 7 + 5x = bx + 7 + 3x Reorder the terms: -7 + 7 + 3a + 5x = bx + 7 + 3x Combine like terms: -7 + 7 = 0 0 + 3a + 5x = bx + 7 + 3x 3a + 5x = bx + 7 + 3x Reorder the terms: 3a + 5x = 7 + bx + 3x Add '-5x' to each side of the equation. 3a + 5x + -5x = 7 + bx + 3x + -5x Combine like terms: 5x + -5x = 0 3a + 0 = 7 + bx + 3x + -5x 3a = 7 + bx + 3x + -5x Combine like terms: 3x + -5x = -2x 3a = 7 + bx + -2x Divide each side by '3'. a = 2.333333333 + 0.3333333333bx + -0.6666666667x Simplifying a = 2.333333333 + 0.3333333333bx + -0.6666666667x
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