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Simplifying 5(x + -2) + -2(2x + 1) = 2 + 5x Reorder the terms: 5(-2 + x) + -2(2x + 1) = 2 + 5x (-2 * 5 + x * 5) + -2(2x + 1) = 2 + 5x (-10 + 5x) + -2(2x + 1) = 2 + 5x Reorder the terms: -10 + 5x + -2(1 + 2x) = 2 + 5x -10 + 5x + (1 * -2 + 2x * -2) = 2 + 5x -10 + 5x + (-2 + -4x) = 2 + 5x Reorder the terms: -10 + -2 + 5x + -4x = 2 + 5x Combine like terms: -10 + -2 = -12 -12 + 5x + -4x = 2 + 5x Combine like terms: 5x + -4x = 1x -12 + 1x = 2 + 5x Solving -12 + 1x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 1x + -5x = 2 + 5x + -5x Combine like terms: 1x + -5x = -4x -12 + -4x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -4x = 2 + 0 -12 + -4x = 2 Add '12' to each side of the equation. -12 + 12 + -4x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 2 + 12 -4x = 2 + 12 Combine like terms: 2 + 12 = 14 -4x = 14 Divide each side by '-4'. x = -3.5 Simplifying x = -3.5
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