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Simplifying 2(4x + 7) = 8 + 2(8x + -6) Reorder the terms: 2(7 + 4x) = 8 + 2(8x + -6) (7 * 2 + 4x * 2) = 8 + 2(8x + -6) (14 + 8x) = 8 + 2(8x + -6) Reorder the terms: 14 + 8x = 8 + 2(-6 + 8x) 14 + 8x = 8 + (-6 * 2 + 8x * 2) 14 + 8x = 8 + (-12 + 16x) Combine like terms: 8 + -12 = -4 14 + 8x = -4 + 16x Solving 14 + 8x = -4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 14 + 8x + -16x = -4 + 16x + -16x Combine like terms: 8x + -16x = -8x 14 + -8x = -4 + 16x + -16x Combine like terms: 16x + -16x = 0 14 + -8x = -4 + 0 14 + -8x = -4 Add '-14' to each side of the equation. 14 + -14 + -8x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = -4 + -14 -8x = -4 + -14 Combine like terms: -4 + -14 = -18 -8x = -18 Divide each side by '-8'. x = 2.25 Simplifying x = 2.25
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