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Simplifying 4x + -6 + 2x = -2x + 40 + 10 Reorder the terms: -6 + 4x + 2x = -2x + 40 + 10 Combine like terms: 4x + 2x = 6x -6 + 6x = -2x + 40 + 10 Reorder the terms: -6 + 6x = 40 + 10 + -2x Combine like terms: 40 + 10 = 50 -6 + 6x = 50 + -2x Solving -6 + 6x = 50 + -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. -6 + 6x + 2x = 50 + -2x + 2x Combine like terms: 6x + 2x = 8x -6 + 8x = 50 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 8x = 50 + 0 -6 + 8x = 50 Add '6' to each side of the equation. -6 + 6 + 8x = 50 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 50 + 6 8x = 50 + 6 Combine like terms: 50 + 6 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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