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Simplifying 2(x + 1) = 7(x + -3) Reorder the terms: 2(1 + x) = 7(x + -3) (1 * 2 + x * 2) = 7(x + -3) (2 + 2x) = 7(x + -3) Reorder the terms: 2 + 2x = 7(-3 + x) 2 + 2x = (-3 * 7 + x * 7) 2 + 2x = (-21 + 7x) Solving 2 + 2x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 2x + -7x = -21 + 7x + -7x Combine like terms: 2x + -7x = -5x 2 + -5x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -5x = -21 + 0 2 + -5x = -21 Add '-2' to each side of the equation. 2 + -2 + -5x = -21 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = -21 + -2 -5x = -21 + -2 Combine like terms: -21 + -2 = -23 -5x = -23 Divide each side by '-5'. x = 4.6 Simplifying x = 4.6
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