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Simplifying 3(7 + -5x) = 4(2x + 1) (7 * 3 + -5x * 3) = 4(2x + 1) (21 + -15x) = 4(2x + 1) Reorder the terms: 21 + -15x = 4(1 + 2x) 21 + -15x = (1 * 4 + 2x * 4) 21 + -15x = (4 + 8x) Solving 21 + -15x = 4 + 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. 21 + -15x + -8x = 4 + 8x + -8x Combine like terms: -15x + -8x = -23x 21 + -23x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -23x = 4 + 0 21 + -23x = 4 Add '-21' to each side of the equation. 21 + -21 + -23x = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -23x = 4 + -21 -23x = 4 + -21 Combine like terms: 4 + -21 = -17 -23x = -17 Divide each side by '-23'. x = 0.7391304348 Simplifying x = 0.7391304348
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