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Simplifying -2(x + 4) + -5(-3 + -6x) = 35 Reorder the terms: -2(4 + x) + -5(-3 + -6x) = 35 (4 * -2 + x * -2) + -5(-3 + -6x) = 35 (-8 + -2x) + -5(-3 + -6x) = 35 -8 + -2x + (-3 * -5 + -6x * -5) = 35 -8 + -2x + (15 + 30x) = 35 Reorder the terms: -8 + 15 + -2x + 30x = 35 Combine like terms: -8 + 15 = 7 7 + -2x + 30x = 35 Combine like terms: -2x + 30x = 28x 7 + 28x = 35 Solving 7 + 28x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 28x = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 28x = 35 + -7 28x = 35 + -7 Combine like terms: 35 + -7 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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