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Simplifying 2(3x + 7) = 4(2x + 2) * 32 Reorder the terms: 2(7 + 3x) = 4(2x + 2) * 32 (7 * 2 + 3x * 2) = 4(2x + 2) * 32 (14 + 6x) = 4(2x + 2) * 32 Reorder the terms: 14 + 6x = 4(2 + 2x) * 32 Reorder the terms for easier multiplication: 14 + 6x = 4 * 32(2 + 2x) Multiply 4 * 32 14 + 6x = 128(2 + 2x) 14 + 6x = (2 * 128 + 2x * 128) 14 + 6x = (256 + 256x) Solving 14 + 6x = 256 + 256x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-256x' to each side of the equation. 14 + 6x + -256x = 256 + 256x + -256x Combine like terms: 6x + -256x = -250x 14 + -250x = 256 + 256x + -256x Combine like terms: 256x + -256x = 0 14 + -250x = 256 + 0 14 + -250x = 256 Add '-14' to each side of the equation. 14 + -14 + -250x = 256 + -14 Combine like terms: 14 + -14 = 0 0 + -250x = 256 + -14 -250x = 256 + -14 Combine like terms: 256 + -14 = 242 -250x = 242 Divide each side by '-250'. x = -0.968 Simplifying x = -0.968
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