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Simplifying 2(x + -6) + 19 = x + 6 Reorder the terms: 2(-6 + x) + 19 = x + 6 (-6 * 2 + x * 2) + 19 = x + 6 (-12 + 2x) + 19 = x + 6 Reorder the terms: -12 + 19 + 2x = x + 6 Combine like terms: -12 + 19 = 7 7 + 2x = x + 6 Reorder the terms: 7 + 2x = 6 + x Solving 7 + 2x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 2x + -1x = 6 + x + -1x Combine like terms: 2x + -1x = 1x 7 + 1x = 6 + x + -1x Combine like terms: x + -1x = 0 7 + 1x = 6 + 0 7 + 1x = 6 Add '-7' to each side of the equation. 7 + -7 + 1x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 6 + -7 1x = 6 + -7 Combine like terms: 6 + -7 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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