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Simplifying 3x + -6 + x = 2(5x + -9) Reorder the terms: -6 + 3x + x = 2(5x + -9) Combine like terms: 3x + x = 4x -6 + 4x = 2(5x + -9) Reorder the terms: -6 + 4x = 2(-9 + 5x) -6 + 4x = (-9 * 2 + 5x * 2) -6 + 4x = (-18 + 10x) Solving -6 + 4x = -18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 4x + -10x = -18 + 10x + -10x Combine like terms: 4x + -10x = -6x -6 + -6x = -18 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -6x = -18 + 0 -6 + -6x = -18 Add '6' to each side of the equation. -6 + 6 + -6x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -18 + 6 -6x = -18 + 6 Combine like terms: -18 + 6 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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