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Simplifying 2(x + -3) = -10x + -6(1 + -7x) Reorder the terms: 2(-3 + x) = -10x + -6(1 + -7x) (-3 * 2 + x * 2) = -10x + -6(1 + -7x) (-6 + 2x) = -10x + -6(1 + -7x) -6 + 2x = -10x + (1 * -6 + -7x * -6) -6 + 2x = -10x + (-6 + 42x) Reorder the terms: -6 + 2x = -6 + -10x + 42x Combine like terms: -10x + 42x = 32x -6 + 2x = -6 + 32x Add '6' to each side of the equation. -6 + 6 + 2x = -6 + 6 + 32x Combine like terms: -6 + 6 = 0 0 + 2x = -6 + 6 + 32x 2x = -6 + 6 + 32x Combine like terms: -6 + 6 = 0 2x = 0 + 32x 2x = 32x Solving 2x = 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 2x + -32x = 32x + -32x Combine like terms: 2x + -32x = -30x -30x = 32x + -32x Combine like terms: 32x + -32x = 0 -30x = 0 Divide each side by '-30'. x = 0.0 Simplifying x = 0.0
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