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Simplifying 7x + -4 + 3x = 4(x + -2) + 10 Reorder the terms: -4 + 7x + 3x = 4(x + -2) + 10 Combine like terms: 7x + 3x = 10x -4 + 10x = 4(x + -2) + 10 Reorder the terms: -4 + 10x = 4(-2 + x) + 10 -4 + 10x = (-2 * 4 + x * 4) + 10 -4 + 10x = (-8 + 4x) + 10 Reorder the terms: -4 + 10x = -8 + 10 + 4x Combine like terms: -8 + 10 = 2 -4 + 10x = 2 + 4x Solving -4 + 10x = 2 + 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. -4 + 10x + -4x = 2 + 4x + -4x Combine like terms: 10x + -4x = 6x -4 + 6x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 6x = 2 + 0 -4 + 6x = 2 Add '4' to each side of the equation. -4 + 4 + 6x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 2 + 4 6x = 2 + 4 Combine like terms: 2 + 4 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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