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Simplifying 3x + 7(2 + -1x) = 4(5 + -2x) 3x + (2 * 7 + -1x * 7) = 4(5 + -2x) 3x + (14 + -7x) = 4(5 + -2x) Reorder the terms: 14 + 3x + -7x = 4(5 + -2x) Combine like terms: 3x + -7x = -4x 14 + -4x = 4(5 + -2x) 14 + -4x = (5 * 4 + -2x * 4) 14 + -4x = (20 + -8x) Solving 14 + -4x = 20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 14 + -4x + 8x = 20 + -8x + 8x Combine like terms: -4x + 8x = 4x 14 + 4x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 14 + 4x = 20 + 0 14 + 4x = 20 Add '-14' to each side of the equation. 14 + -14 + 4x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 20 + -14 4x = 20 + -14 Combine like terms: 20 + -14 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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