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Simplifying 7(2x + -1) + -2(5x + -6) = 2(4x + -5) + 7 Reorder the terms: 7(-1 + 2x) + -2(5x + -6) = 2(4x + -5) + 7 (-1 * 7 + 2x * 7) + -2(5x + -6) = 2(4x + -5) + 7 (-7 + 14x) + -2(5x + -6) = 2(4x + -5) + 7 Reorder the terms: -7 + 14x + -2(-6 + 5x) = 2(4x + -5) + 7 -7 + 14x + (-6 * -2 + 5x * -2) = 2(4x + -5) + 7 -7 + 14x + (12 + -10x) = 2(4x + -5) + 7 Reorder the terms: -7 + 12 + 14x + -10x = 2(4x + -5) + 7 Combine like terms: -7 + 12 = 5 5 + 14x + -10x = 2(4x + -5) + 7 Combine like terms: 14x + -10x = 4x 5 + 4x = 2(4x + -5) + 7 Reorder the terms: 5 + 4x = 2(-5 + 4x) + 7 5 + 4x = (-5 * 2 + 4x * 2) + 7 5 + 4x = (-10 + 8x) + 7 Reorder the terms: 5 + 4x = -10 + 7 + 8x Combine like terms: -10 + 7 = -3 5 + 4x = -3 + 8x Solving 5 + 4x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + 4x + -8x = -3 + 8x + -8x Combine like terms: 4x + -8x = -4x 5 + -4x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -4x = -3 + 0 5 + -4x = -3 Add '-5' to each side of the equation. 5 + -5 + -4x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -3 + -5 -4x = -3 + -5 Combine like terms: -3 + -5 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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