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Simplifying 3(5 + x) + 6 = -2(3 + -1x) + -5 (5 * 3 + x * 3) + 6 = -2(3 + -1x) + -5 (15 + 3x) + 6 = -2(3 + -1x) + -5 Reorder the terms: 15 + 6 + 3x = -2(3 + -1x) + -5 Combine like terms: 15 + 6 = 21 21 + 3x = -2(3 + -1x) + -5 21 + 3x = (3 * -2 + -1x * -2) + -5 21 + 3x = (-6 + 2x) + -5 Reorder the terms: 21 + 3x = -6 + -5 + 2x Combine like terms: -6 + -5 = -11 21 + 3x = -11 + 2x Solving 21 + 3x = -11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 3x + -2x = -11 + 2x + -2x Combine like terms: 3x + -2x = 1x 21 + 1x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 1x = -11 + 0 21 + 1x = -11 Add '-21' to each side of the equation. 21 + -21 + 1x = -11 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = -11 + -21 1x = -11 + -21 Combine like terms: -11 + -21 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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