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Simplifying 7(1 + -1x) + 2x = 4(2x + 1) (1 * 7 + -1x * 7) + 2x = 4(2x + 1) (7 + -7x) + 2x = 4(2x + 1) Combine like terms: -7x + 2x = -5x 7 + -5x = 4(2x + 1) Reorder the terms: 7 + -5x = 4(1 + 2x) 7 + -5x = (1 * 4 + 2x * 4) 7 + -5x = (4 + 8x) Solving 7 + -5x = 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. 7 + -5x + -8x = 4 + 8x + -8x Combine like terms: -5x + -8x = -13x 7 + -13x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -13x = 4 + 0 7 + -13x = 4 Add '-7' to each side of the equation. 7 + -7 + -13x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -13x = 4 + -7 -13x = 4 + -7 Combine like terms: 4 + -7 = -3 -13x = -3 Divide each side by '-13'. x = 0.2307692308 Simplifying x = 0.2307692308
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