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Simplifying 6 + -3(x + -5) = -2 + -1(x + 1) Reorder the terms: 6 + -3(-5 + x) = -2 + -1(x + 1) 6 + (-5 * -3 + x * -3) = -2 + -1(x + 1) 6 + (15 + -3x) = -2 + -1(x + 1) Combine like terms: 6 + 15 = 21 21 + -3x = -2 + -1(x + 1) Reorder the terms: 21 + -3x = -2 + -1(1 + x) 21 + -3x = -2 + (1 * -1 + x * -1) 21 + -3x = -2 + (-1 + -1x) Combine like terms: -2 + -1 = -3 21 + -3x = -3 + -1x Solving 21 + -3x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 21 + -3x + x = -3 + -1x + x Combine like terms: -3x + x = -2x 21 + -2x = -3 + -1x + x Combine like terms: -1x + x = 0 21 + -2x = -3 + 0 21 + -2x = -3 Add '-21' to each side of the equation. 21 + -21 + -2x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = -3 + -21 -2x = -3 + -21 Combine like terms: -3 + -21 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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