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Simplifying 7(x + 1) = 3(x + -3) Reorder the terms: 7(1 + x) = 3(x + -3) (1 * 7 + x * 7) = 3(x + -3) (7 + 7x) = 3(x + -3) Reorder the terms: 7 + 7x = 3(-3 + x) 7 + 7x = (-3 * 3 + x * 3) 7 + 7x = (-9 + 3x) Solving 7 + 7x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 7x + -3x = -9 + 3x + -3x Combine like terms: 7x + -3x = 4x 7 + 4x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 4x = -9 + 0 7 + 4x = -9 Add '-7' to each side of the equation. 7 + -7 + 4x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = -9 + -7 4x = -9 + -7 Combine like terms: -9 + -7 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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