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Simplifying -1(x + -5) + -5(6 + 3x) = 23 Reorder the terms: -1(-5 + x) + -5(6 + 3x) = 23 (-5 * -1 + x * -1) + -5(6 + 3x) = 23 (5 + -1x) + -5(6 + 3x) = 23 5 + -1x + (6 * -5 + 3x * -5) = 23 5 + -1x + (-30 + -15x) = 23 Reorder the terms: 5 + -30 + -1x + -15x = 23 Combine like terms: 5 + -30 = -25 -25 + -1x + -15x = 23 Combine like terms: -1x + -15x = -16x -25 + -16x = 23 Solving -25 + -16x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -16x = 23 + 25 Combine like terms: -25 + 25 = 0 0 + -16x = 23 + 25 -16x = 23 + 25 Combine like terms: 23 + 25 = 48 -16x = 48 Divide each side by '-16'. x = -3 Simplifying x = -3
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