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Simplifying 8x + -4(2x + 3) = 5x + -17 Reorder the terms: 8x + -4(3 + 2x) = 5x + -17 8x + (3 * -4 + 2x * -4) = 5x + -17 8x + (-12 + -8x) = 5x + -17 Reorder the terms: -12 + 8x + -8x = 5x + -17 Combine like terms: 8x + -8x = 0 -12 + 0 = 5x + -17 -12 = 5x + -17 Reorder the terms: -12 = -17 + 5x Solving -12 = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + -5x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -5x = -17 + 0 -12 + -5x = -17 Add '12' to each side of the equation. -12 + 12 + -5x = -17 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = -17 + 12 -5x = -17 + 12 Combine like terms: -17 + 12 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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