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Simplifying 5(2x + -1) + -2(x + -2) = 7 + 4x Reorder the terms: 5(-1 + 2x) + -2(x + -2) = 7 + 4x (-1 * 5 + 2x * 5) + -2(x + -2) = 7 + 4x (-5 + 10x) + -2(x + -2) = 7 + 4x Reorder the terms: -5 + 10x + -2(-2 + x) = 7 + 4x -5 + 10x + (-2 * -2 + x * -2) = 7 + 4x -5 + 10x + (4 + -2x) = 7 + 4x Reorder the terms: -5 + 4 + 10x + -2x = 7 + 4x Combine like terms: -5 + 4 = -1 -1 + 10x + -2x = 7 + 4x Combine like terms: 10x + -2x = 8x -1 + 8x = 7 + 4x Solving -1 + 8x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 8x + -4x = 7 + 4x + -4x Combine like terms: 8x + -4x = 4x -1 + 4x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 4x = 7 + 0 -1 + 4x = 7 Add '1' to each side of the equation. -1 + 1 + 4x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 7 + 1 4x = 7 + 1 Combine like terms: 7 + 1 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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