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Simplifying 2(x + -6) + 7 = 3x + -8 Reorder the terms: 2(-6 + x) + 7 = 3x + -8 (-6 * 2 + x * 2) + 7 = 3x + -8 (-12 + 2x) + 7 = 3x + -8 Reorder the terms: -12 + 7 + 2x = 3x + -8 Combine like terms: -12 + 7 = -5 -5 + 2x = 3x + -8 Reorder the terms: -5 + 2x = -8 + 3x Solving -5 + 2x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 2x + -3x = -8 + 3x + -3x Combine like terms: 2x + -3x = -1x -5 + -1x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -1x = -8 + 0 -5 + -1x = -8 Add '5' to each side of the equation. -5 + 5 + -1x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -8 + 5 -1x = -8 + 5 Combine like terms: -8 + 5 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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