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Simplifying 5(2x + -1) + -2(1 + 4x) = 5 + 6x Reorder the terms: 5(-1 + 2x) + -2(1 + 4x) = 5 + 6x (-1 * 5 + 2x * 5) + -2(1 + 4x) = 5 + 6x (-5 + 10x) + -2(1 + 4x) = 5 + 6x -5 + 10x + (1 * -2 + 4x * -2) = 5 + 6x -5 + 10x + (-2 + -8x) = 5 + 6x Reorder the terms: -5 + -2 + 10x + -8x = 5 + 6x Combine like terms: -5 + -2 = -7 -7 + 10x + -8x = 5 + 6x Combine like terms: 10x + -8x = 2x -7 + 2x = 5 + 6x Solving -7 + 2x = 5 + 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. -7 + 2x + -6x = 5 + 6x + -6x Combine like terms: 2x + -6x = -4x -7 + -4x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -4x = 5 + 0 -7 + -4x = 5 Add '7' to each side of the equation. -7 + 7 + -4x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 5 + 7 -4x = 5 + 7 Combine like terms: 5 + 7 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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