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Simplifying 2 + -5x + 9x = -2(-7x + 4) Combine like terms: -5x + 9x = 4x 2 + 4x = -2(-7x + 4) Reorder the terms: 2 + 4x = -2(4 + -7x) 2 + 4x = (4 * -2 + -7x * -2) 2 + 4x = (-8 + 14x) Solving 2 + 4x = -8 + 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. 2 + 4x + -14x = -8 + 14x + -14x Combine like terms: 4x + -14x = -10x 2 + -10x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 2 + -10x = -8 + 0 2 + -10x = -8 Add '-2' to each side of the equation. 2 + -2 + -10x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = -8 + -2 -10x = -8 + -2 Combine like terms: -8 + -2 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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