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Simplifying 2(5x + -7) = 2(x + -35) Reorder the terms: 2(-7 + 5x) = 2(x + -35) (-7 * 2 + 5x * 2) = 2(x + -35) (-14 + 10x) = 2(x + -35) Reorder the terms: -14 + 10x = 2(-35 + x) -14 + 10x = (-35 * 2 + x * 2) -14 + 10x = (-70 + 2x) Solving -14 + 10x = -70 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 10x + -2x = -70 + 2x + -2x Combine like terms: 10x + -2x = 8x -14 + 8x = -70 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 8x = -70 + 0 -14 + 8x = -70 Add '14' to each side of the equation. -14 + 14 + 8x = -70 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = -70 + 14 8x = -70 + 14 Combine like terms: -70 + 14 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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