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Simplifying 2 + 2(x + -4) + 5x = 3(x + -2 + 4x) Reorder the terms: 2 + 2(-4 + x) + 5x = 3(x + -2 + 4x) 2 + (-4 * 2 + x * 2) + 5x = 3(x + -2 + 4x) 2 + (-8 + 2x) + 5x = 3(x + -2 + 4x) Combine like terms: 2 + -8 = -6 -6 + 2x + 5x = 3(x + -2 + 4x) Combine like terms: 2x + 5x = 7x -6 + 7x = 3(x + -2 + 4x) Reorder the terms: -6 + 7x = 3(-2 + x + 4x) Combine like terms: x + 4x = 5x -6 + 7x = 3(-2 + 5x) -6 + 7x = (-2 * 3 + 5x * 3) -6 + 7x = (-6 + 15x) Add '6' to each side of the equation. -6 + 6 + 7x = -6 + 6 + 15x Combine like terms: -6 + 6 = 0 0 + 7x = -6 + 6 + 15x 7x = -6 + 6 + 15x Combine like terms: -6 + 6 = 0 7x = 0 + 15x 7x = 15x Solving 7x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 7x + -15x = 15x + -15x Combine like terms: 7x + -15x = -8x -8x = 15x + -15x Combine like terms: 15x + -15x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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