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Simplifying 3x + -10 + 6a = 7x + 6a Reorder the terms: -10 + 6a + 3x = 7x + 6a Reorder the terms: -10 + 6a + 3x = 6a + 7x Add '-6a' to each side of the equation. -10 + 6a + -6a + 3x = 6a + -6a + 7x Combine like terms: 6a + -6a = 0 -10 + 0 + 3x = 6a + -6a + 7x -10 + 3x = 6a + -6a + 7x Combine like terms: 6a + -6a = 0 -10 + 3x = 0 + 7x -10 + 3x = 7x Solving -10 + 3x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + 3x + -7x = 7x + -7x Combine like terms: 3x + -7x = -4x -10 + -4x = 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -4x = 0 Add '10' to each side of the equation. -10 + 10 + -4x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 0 + 10 -4x = 0 + 10 Combine like terms: 0 + 10 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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