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Simplifying 2(x + -2) + 5x = 2(3x + -8) Reorder the terms: 2(-2 + x) + 5x = 2(3x + -8) (-2 * 2 + x * 2) + 5x = 2(3x + -8) (-4 + 2x) + 5x = 2(3x + -8) Combine like terms: 2x + 5x = 7x -4 + 7x = 2(3x + -8) Reorder the terms: -4 + 7x = 2(-8 + 3x) -4 + 7x = (-8 * 2 + 3x * 2) -4 + 7x = (-16 + 6x) Solving -4 + 7x = -16 + 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 + 7x + -6x = -16 + 6x + -6x Combine like terms: 7x + -6x = 1x -4 + 1x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 1x = -16 + 0 -4 + 1x = -16 Add '4' to each side of the equation. -4 + 4 + 1x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -16 + 4 1x = -16 + 4 Combine like terms: -16 + 4 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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