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Simplifying (4x + -3.5) * 2 = (4x + 17) Reorder the terms: (-3.5 + 4x) * 2 = (4x + 17) Reorder the terms for easier multiplication: 2(-3.5 + 4x) = (4x + 17) (-3.5 * 2 + 4x * 2) = (4x + 17) (-7 + 8x) = (4x + 17) Reorder the terms: -7 + 8x = (17 + 4x) Remove parenthesis around (17 + 4x) -7 + 8x = 17 + 4x Solving -7 + 8x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 8x + -4x = 17 + 4x + -4x Combine like terms: 8x + -4x = 4x -7 + 4x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 4x = 17 + 0 -7 + 4x = 17 Add '7' to each side of the equation. -7 + 7 + 4x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 17 + 7 4x = 17 + 7 Combine like terms: 17 + 7 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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