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Simplifying 2(x + -6) + -7 = 13 + -2x Reorder the terms: 2(-6 + x) + -7 = 13 + -2x (-6 * 2 + x * 2) + -7 = 13 + -2x (-12 + 2x) + -7 = 13 + -2x Reorder the terms: -12 + -7 + 2x = 13 + -2x Combine like terms: -12 + -7 = -19 -19 + 2x = 13 + -2x Solving -19 + 2x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -19 + 2x + 2x = 13 + -2x + 2x Combine like terms: 2x + 2x = 4x -19 + 4x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -19 + 4x = 13 + 0 -19 + 4x = 13 Add '19' to each side of the equation. -19 + 19 + 4x = 13 + 19 Combine like terms: -19 + 19 = 0 0 + 4x = 13 + 19 4x = 13 + 19 Combine like terms: 13 + 19 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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