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Simplifying 2(x + 4) = 28(4x + 7) Reorder the terms: 2(4 + x) = 28(4x + 7) (4 * 2 + x * 2) = 28(4x + 7) (8 + 2x) = 28(4x + 7) Reorder the terms: 8 + 2x = 28(7 + 4x) 8 + 2x = (7 * 28 + 4x * 28) 8 + 2x = (196 + 112x) Solving 8 + 2x = 196 + 112x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112x' to each side of the equation. 8 + 2x + -112x = 196 + 112x + -112x Combine like terms: 2x + -112x = -110x 8 + -110x = 196 + 112x + -112x Combine like terms: 112x + -112x = 0 8 + -110x = 196 + 0 8 + -110x = 196 Add '-8' to each side of the equation. 8 + -8 + -110x = 196 + -8 Combine like terms: 8 + -8 = 0 0 + -110x = 196 + -8 -110x = 196 + -8 Combine like terms: 196 + -8 = 188 -110x = 188 Divide each side by '-110'. x = -1.709090909 Simplifying x = -1.709090909
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