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Simplifying x + -2 = 2x + 7(x + -6) Reorder the terms: -2 + x = 2x + 7(x + -6) Reorder the terms: -2 + x = 2x + 7(-6 + x) -2 + x = 2x + (-6 * 7 + x * 7) -2 + x = 2x + (-42 + 7x) Reorder the terms: -2 + x = -42 + 2x + 7x Combine like terms: 2x + 7x = 9x -2 + x = -42 + 9x Solving -2 + x = -42 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + x + -9x = -42 + 9x + -9x Combine like terms: x + -9x = -8x -2 + -8x = -42 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -8x = -42 + 0 -2 + -8x = -42 Add '2' to each side of the equation. -2 + 2 + -8x = -42 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -42 + 2 -8x = -42 + 2 Combine like terms: -42 + 2 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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