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Simplifying 4(2x + 7) + -5(4 + -1x) = 14 + -3(2 + -5x) Reorder the terms: 4(7 + 2x) + -5(4 + -1x) = 14 + -3(2 + -5x) (7 * 4 + 2x * 4) + -5(4 + -1x) = 14 + -3(2 + -5x) (28 + 8x) + -5(4 + -1x) = 14 + -3(2 + -5x) 28 + 8x + (4 * -5 + -1x * -5) = 14 + -3(2 + -5x) 28 + 8x + (-20 + 5x) = 14 + -3(2 + -5x) Reorder the terms: 28 + -20 + 8x + 5x = 14 + -3(2 + -5x) Combine like terms: 28 + -20 = 8 8 + 8x + 5x = 14 + -3(2 + -5x) Combine like terms: 8x + 5x = 13x 8 + 13x = 14 + -3(2 + -5x) 8 + 13x = 14 + (2 * -3 + -5x * -3) 8 + 13x = 14 + (-6 + 15x) Combine like terms: 14 + -6 = 8 8 + 13x = 8 + 15x Add '-8' to each side of the equation. 8 + -8 + 13x = 8 + -8 + 15x Combine like terms: 8 + -8 = 0 0 + 13x = 8 + -8 + 15x 13x = 8 + -8 + 15x Combine like terms: 8 + -8 = 0 13x = 0 + 15x 13x = 15x Solving 13x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 13x + -15x = 15x + -15x Combine like terms: 13x + -15x = -2x -2x = 15x + -15x Combine like terms: 15x + -15x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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