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Simplifying 8 = 2(4x + -3) + -7x Reorder the terms: 8 = 2(-3 + 4x) + -7x 8 = (-3 * 2 + 4x * 2) + -7x 8 = (-6 + 8x) + -7x Combine like terms: 8x + -7x = 1x 8 = -6 + 1x Solving 8 = -6 + 1x 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. 8 + -1x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + -1x = -6 + 0 8 + -1x = -6 Add '-8' to each side of the equation. 8 + -8 + -1x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -6 + -8 -1x = -6 + -8 Combine like terms: -6 + -8 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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