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Simplifying -14x + 3(x + -5) + 7x = 6x + -35 Reorder the terms: -14x + 3(-5 + x) + 7x = 6x + -35 -14x + (-5 * 3 + x * 3) + 7x = 6x + -35 -14x + (-15 + 3x) + 7x = 6x + -35 Reorder the terms: -15 + -14x + 3x + 7x = 6x + -35 Combine like terms: -14x + 3x = -11x -15 + -11x + 7x = 6x + -35 Combine like terms: -11x + 7x = -4x -15 + -4x = 6x + -35 Reorder the terms: -15 + -4x = -35 + 6x Solving -15 + -4x = -35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + -4x + -6x = -35 + 6x + -6x Combine like terms: -4x + -6x = -10x -15 + -10x = -35 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -10x = -35 + 0 -15 + -10x = -35 Add '15' to each side of the equation. -15 + 15 + -10x = -35 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = -35 + 15 -10x = -35 + 15 Combine like terms: -35 + 15 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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