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Simplifying 8 + -2(x + 1) = 5(x + -3) Reorder the terms: 8 + -2(1 + x) = 5(x + -3) 8 + (1 * -2 + x * -2) = 5(x + -3) 8 + (-2 + -2x) = 5(x + -3) Combine like terms: 8 + -2 = 6 6 + -2x = 5(x + -3) Reorder the terms: 6 + -2x = 5(-3 + x) 6 + -2x = (-3 * 5 + x * 5) 6 + -2x = (-15 + 5x) Solving 6 + -2x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -2x + -5x = -15 + 5x + -5x Combine like terms: -2x + -5x = -7x 6 + -7x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -7x = -15 + 0 6 + -7x = -15 Add '-6' to each side of the equation. 6 + -6 + -7x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -15 + -6 -7x = -15 + -6 Combine like terms: -15 + -6 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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