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Simplifying 5(2x + -7) = 7 + -2(5 + -3x) Reorder the terms: 5(-7 + 2x) = 7 + -2(5 + -3x) (-7 * 5 + 2x * 5) = 7 + -2(5 + -3x) (-35 + 10x) = 7 + -2(5 + -3x) -35 + 10x = 7 + (5 * -2 + -3x * -2) -35 + 10x = 7 + (-10 + 6x) Combine like terms: 7 + -10 = -3 -35 + 10x = -3 + 6x Solving -35 + 10x = -3 + 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. -35 + 10x + -6x = -3 + 6x + -6x Combine like terms: 10x + -6x = 4x -35 + 4x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + 4x = -3 + 0 -35 + 4x = -3 Add '35' to each side of the equation. -35 + 35 + 4x = -3 + 35 Combine like terms: -35 + 35 = 0 0 + 4x = -3 + 35 4x = -3 + 35 Combine like terms: -3 + 35 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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