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Simplifying 35x + -11 = 3(14x + -6) Reorder the terms: -11 + 35x = 3(14x + -6) Reorder the terms: -11 + 35x = 3(-6 + 14x) -11 + 35x = (-6 * 3 + 14x * 3) -11 + 35x = (-18 + 42x) Solving -11 + 35x = -18 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -11 + 35x + -42x = -18 + 42x + -42x Combine like terms: 35x + -42x = -7x -11 + -7x = -18 + 42x + -42x Combine like terms: 42x + -42x = 0 -11 + -7x = -18 + 0 -11 + -7x = -18 Add '11' to each side of the equation. -11 + 11 + -7x = -18 + 11 Combine like terms: -11 + 11 = 0 0 + -7x = -18 + 11 -7x = -18 + 11 Combine like terms: -18 + 11 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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