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Simplifying 2(x + -7) + 2 = 6x + 15 Reorder the terms: 2(-7 + x) + 2 = 6x + 15 (-7 * 2 + x * 2) + 2 = 6x + 15 (-14 + 2x) + 2 = 6x + 15 Reorder the terms: -14 + 2 + 2x = 6x + 15 Combine like terms: -14 + 2 = -12 -12 + 2x = 6x + 15 Reorder the terms: -12 + 2x = 15 + 6x Solving -12 + 2x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 2x + -6x = 15 + 6x + -6x Combine like terms: 2x + -6x = -4x -12 + -4x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -4x = 15 + 0 -12 + -4x = 15 Add '12' to each side of the equation. -12 + 12 + -4x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 15 + 12 -4x = 15 + 12 Combine like terms: 15 + 12 = 27 -4x = 27 Divide each side by '-4'. x = -6.75 Simplifying x = -6.75
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