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Simplifying 2(x + -7) + 2x = 6x + 15 Reorder the terms: 2(-7 + x) + 2x = 6x + 15 (-7 * 2 + x * 2) + 2x = 6x + 15 (-14 + 2x) + 2x = 6x + 15 Combine like terms: 2x + 2x = 4x -14 + 4x = 6x + 15 Reorder the terms: -14 + 4x = 15 + 6x Solving -14 + 4x = 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. -14 + 4x + -6x = 15 + 6x + -6x Combine like terms: 4x + -6x = -2x -14 + -2x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -2x = 15 + 0 -14 + -2x = 15 Add '14' to each side of the equation. -14 + 14 + -2x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 15 + 14 -2x = 15 + 14 Combine like terms: 15 + 14 = 29 -2x = 29 Divide each side by '-2'. x = -14.5 Simplifying x = -14.5
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