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Simplifying 2(x + -3) + -17 = 13 + -3(x + 20) + -1(-1x + -5) Reorder the terms: 2(-3 + x) + -17 = 13 + -3(x + 20) + -1(-1x + -5) (-3 * 2 + x * 2) + -17 = 13 + -3(x + 20) + -1(-1x + -5) (-6 + 2x) + -17 = 13 + -3(x + 20) + -1(-1x + -5) Reorder the terms: -6 + -17 + 2x = 13 + -3(x + 20) + -1(-1x + -5) Combine like terms: -6 + -17 = -23 -23 + 2x = 13 + -3(x + 20) + -1(-1x + -5) Reorder the terms: -23 + 2x = 13 + -3(20 + x) + -1(-1x + -5) -23 + 2x = 13 + (20 * -3 + x * -3) + -1(-1x + -5) -23 + 2x = 13 + (-60 + -3x) + -1(-1x + -5) Reorder the terms: -23 + 2x = 13 + -60 + -3x + -1(-5 + -1x) -23 + 2x = 13 + -60 + -3x + (-5 * -1 + -1x * -1) -23 + 2x = 13 + -60 + -3x + (5 + 1x) Reorder the terms: -23 + 2x = 13 + -60 + 5 + -3x + 1x Combine like terms: 13 + -60 = -47 -23 + 2x = -47 + 5 + -3x + 1x Combine like terms: -47 + 5 = -42 -23 + 2x = -42 + -3x + 1x Combine like terms: -3x + 1x = -2x -23 + 2x = -42 + -2x Solving -23 + 2x = -42 + -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. -23 + 2x + 2x = -42 + -2x + 2x Combine like terms: 2x + 2x = 4x -23 + 4x = -42 + -2x + 2x Combine like terms: -2x + 2x = 0 -23 + 4x = -42 + 0 -23 + 4x = -42 Add '23' to each side of the equation. -23 + 23 + 4x = -42 + 23 Combine like terms: -23 + 23 = 0 0 + 4x = -42 + 23 4x = -42 + 23 Combine like terms: -42 + 23 = -19 4x = -19 Divide each side by '4'. x = -4.75 Simplifying x = -4.75
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