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Simplifying 4x + -6 = 2(7x + 17) Reorder the terms: -6 + 4x = 2(7x + 17) Reorder the terms: -6 + 4x = 2(17 + 7x) -6 + 4x = (17 * 2 + 7x * 2) -6 + 4x = (34 + 14x) Solving -6 + 4x = 34 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -6 + 4x + -14x = 34 + 14x + -14x Combine like terms: 4x + -14x = -10x -6 + -10x = 34 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -10x = 34 + 0 -6 + -10x = 34 Add '6' to each side of the equation. -6 + 6 + -10x = 34 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 34 + 6 -10x = 34 + 6 Combine like terms: 34 + 6 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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