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Simplifying 2(x + -35) + -3(2x + 35) = 4 + -535 Reorder the terms: 2(-35 + x) + -3(2x + 35) = 4 + -535 (-35 * 2 + x * 2) + -3(2x + 35) = 4 + -535 (-70 + 2x) + -3(2x + 35) = 4 + -535 Reorder the terms: -70 + 2x + -3(35 + 2x) = 4 + -535 -70 + 2x + (35 * -3 + 2x * -3) = 4 + -535 -70 + 2x + (-105 + -6x) = 4 + -535 Reorder the terms: -70 + -105 + 2x + -6x = 4 + -535 Combine like terms: -70 + -105 = -175 -175 + 2x + -6x = 4 + -535 Combine like terms: 2x + -6x = -4x -175 + -4x = 4 + -535 Combine like terms: 4 + -535 = -531 -175 + -4x = -531 Solving -175 + -4x = -531 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '175' to each side of the equation. -175 + 175 + -4x = -531 + 175 Combine like terms: -175 + 175 = 0 0 + -4x = -531 + 175 -4x = -531 + 175 Combine like terms: -531 + 175 = -356 -4x = -356 Divide each side by '-4'. x = 89 Simplifying x = 89
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