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Simplifying 2(x + -7) + -6 = -2(-7x + 1) + -4x Reorder the terms: 2(-7 + x) + -6 = -2(-7x + 1) + -4x (-7 * 2 + x * 2) + -6 = -2(-7x + 1) + -4x (-14 + 2x) + -6 = -2(-7x + 1) + -4x Reorder the terms: -14 + -6 + 2x = -2(-7x + 1) + -4x Combine like terms: -14 + -6 = -20 -20 + 2x = -2(-7x + 1) + -4x Reorder the terms: -20 + 2x = -2(1 + -7x) + -4x -20 + 2x = (1 * -2 + -7x * -2) + -4x -20 + 2x = (-2 + 14x) + -4x Combine like terms: 14x + -4x = 10x -20 + 2x = -2 + 10x Solving -20 + 2x = -2 + 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. -20 + 2x + -10x = -2 + 10x + -10x Combine like terms: 2x + -10x = -8x -20 + -8x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + -8x = -2 + 0 -20 + -8x = -2 Add '20' to each side of the equation. -20 + 20 + -8x = -2 + 20 Combine like terms: -20 + 20 = 0 0 + -8x = -2 + 20 -8x = -2 + 20 Combine like terms: -2 + 20 = 18 -8x = 18 Divide each side by '-8'. x = -2.25 Simplifying x = -2.25
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