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Simplifying 2(8x + -7) = 15x + -12 Reorder the terms: 2(-7 + 8x) = 15x + -12 (-7 * 2 + 8x * 2) = 15x + -12 (-14 + 16x) = 15x + -12 Reorder the terms: -14 + 16x = -12 + 15x Solving -14 + 16x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -14 + 16x + -15x = -12 + 15x + -15x Combine like terms: 16x + -15x = 1x -14 + 1x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 -14 + 1x = -12 + 0 -14 + 1x = -12 Add '14' to each side of the equation. -14 + 14 + 1x = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -12 + 14 1x = -12 + 14 Combine like terms: -12 + 14 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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