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Simplifying 2(x + -2) + 2x = 10x + -4(2 + x) Reorder the terms: 2(-2 + x) + 2x = 10x + -4(2 + x) (-2 * 2 + x * 2) + 2x = 10x + -4(2 + x) (-4 + 2x) + 2x = 10x + -4(2 + x) Combine like terms: 2x + 2x = 4x -4 + 4x = 10x + -4(2 + x) -4 + 4x = 10x + (2 * -4 + x * -4) -4 + 4x = 10x + (-8 + -4x) Reorder the terms: -4 + 4x = -8 + 10x + -4x Combine like terms: 10x + -4x = 6x -4 + 4x = -8 + 6x Solving -4 + 4x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 4x + -6x = -8 + 6x + -6x Combine like terms: 4x + -6x = -2x -4 + -2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -2x = -8 + 0 -4 + -2x = -8 Add '4' to each side of the equation. -4 + 4 + -2x = -8 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -8 + 4 -2x = -8 + 4 Combine like terms: -8 + 4 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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