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Simplifying 3(x + -5) + -2(x + 3) = 2x + 61 Reorder the terms: 3(-5 + x) + -2(x + 3) = 2x + 61 (-5 * 3 + x * 3) + -2(x + 3) = 2x + 61 (-15 + 3x) + -2(x + 3) = 2x + 61 Reorder the terms: -15 + 3x + -2(3 + x) = 2x + 61 -15 + 3x + (3 * -2 + x * -2) = 2x + 61 -15 + 3x + (-6 + -2x) = 2x + 61 Reorder the terms: -15 + -6 + 3x + -2x = 2x + 61 Combine like terms: -15 + -6 = -21 -21 + 3x + -2x = 2x + 61 Combine like terms: 3x + -2x = 1x -21 + 1x = 2x + 61 Reorder the terms: -21 + 1x = 61 + 2x Solving -21 + 1x = 61 + 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 + 1x + -2x = 61 + 2x + -2x Combine like terms: 1x + -2x = -1x -21 + -1x = 61 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + -1x = 61 + 0 -21 + -1x = 61 Add '21' to each side of the equation. -21 + 21 + -1x = 61 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 61 + 21 -1x = 61 + 21 Combine like terms: 61 + 21 = 82 -1x = 82 Divide each side by '-1'. x = -82 Simplifying x = -82
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