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Simplifying 2(x + -6) + -10x + 9 = 6x + -3 Reorder the terms: 2(-6 + x) + -10x + 9 = 6x + -3 (-6 * 2 + x * 2) + -10x + 9 = 6x + -3 (-12 + 2x) + -10x + 9 = 6x + -3 Reorder the terms: -12 + 9 + 2x + -10x = 6x + -3 Combine like terms: -12 + 9 = -3 -3 + 2x + -10x = 6x + -3 Combine like terms: 2x + -10x = -8x -3 + -8x = 6x + -3 Reorder the terms: -3 + -8x = -3 + 6x Add '3' to each side of the equation. -3 + 3 + -8x = -3 + 3 + 6x Combine like terms: -3 + 3 = 0 0 + -8x = -3 + 3 + 6x -8x = -3 + 3 + 6x Combine like terms: -3 + 3 = 0 -8x = 0 + 6x -8x = 6x Solving -8x = 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. -8x + -6x = 6x + -6x Combine like terms: -8x + -6x = -14x -14x = 6x + -6x Combine like terms: 6x + -6x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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