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Simplifying 7(1 + -1x) = 3(5 + 3x) (1 * 7 + -1x * 7) = 3(5 + 3x) (7 + -7x) = 3(5 + 3x) 7 + -7x = (5 * 3 + 3x * 3) 7 + -7x = (15 + 9x) Solving 7 + -7x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + -7x + -9x = 15 + 9x + -9x Combine like terms: -7x + -9x = -16x 7 + -16x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -16x = 15 + 0 7 + -16x = 15 Add '-7' to each side of the equation. 7 + -7 + -16x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -16x = 15 + -7 -16x = 15 + -7 Combine like terms: 15 + -7 = 8 -16x = 8 Divide each side by '-16'. x = -0.5 Simplifying x = -0.5
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