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Simplifying 5(x + -3) + -17 = 2(x + -3) + -6 Reorder the terms: 5(-3 + x) + -17 = 2(x + -3) + -6 (-3 * 5 + x * 5) + -17 = 2(x + -3) + -6 (-15 + 5x) + -17 = 2(x + -3) + -6 Reorder the terms: -15 + -17 + 5x = 2(x + -3) + -6 Combine like terms: -15 + -17 = -32 -32 + 5x = 2(x + -3) + -6 Reorder the terms: -32 + 5x = 2(-3 + x) + -6 -32 + 5x = (-3 * 2 + x * 2) + -6 -32 + 5x = (-6 + 2x) + -6 Reorder the terms: -32 + 5x = -6 + -6 + 2x Combine like terms: -6 + -6 = -12 -32 + 5x = -12 + 2x Solving -32 + 5x = -12 + 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. -32 + 5x + -2x = -12 + 2x + -2x Combine like terms: 5x + -2x = 3x -32 + 3x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 3x = -12 + 0 -32 + 3x = -12 Add '32' to each side of the equation. -32 + 32 + 3x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = -12 + 32 3x = -12 + 32 Combine like terms: -12 + 32 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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