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Simplifying 3x + 2(x + -4) = 7x Reorder the terms: 3x + 2(-4 + x) = 7x 3x + (-4 * 2 + x * 2) = 7x 3x + (-8 + 2x) = 7x Reorder the terms: -8 + 3x + 2x = 7x Combine like terms: 3x + 2x = 5x -8 + 5x = 7x Solving -8 + 5x = 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. -8 + 5x + -7x = 7x + -7x Combine like terms: 5x + -7x = -2x -8 + -2x = 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -2x = 0 Add '8' to each side of the equation. -8 + 8 + -2x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 0 + 8 -2x = 0 + 8 Combine like terms: 0 + 8 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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