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Simplifying 6x + -1(5x + 3) = 2x + -23 Reorder the terms: 6x + -1(3 + 5x) = 2x + -23 6x + (3 * -1 + 5x * -1) = 2x + -23 6x + (-3 + -5x) = 2x + -23 Reorder the terms: -3 + 6x + -5x = 2x + -23 Combine like terms: 6x + -5x = 1x -3 + 1x = 2x + -23 Reorder the terms: -3 + 1x = -23 + 2x Solving -3 + 1x = -23 + 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. -3 + 1x + -2x = -23 + 2x + -2x Combine like terms: 1x + -2x = -1x -3 + -1x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -1x = -23 + 0 -3 + -1x = -23 Add '3' to each side of the equation. -3 + 3 + -1x = -23 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -23 + 3 -1x = -23 + 3 Combine like terms: -23 + 3 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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