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Simplifying -4(x + 5) + 3 = 2(x + -3) + -8x Reorder the terms: -4(5 + x) + 3 = 2(x + -3) + -8x (5 * -4 + x * -4) + 3 = 2(x + -3) + -8x (-20 + -4x) + 3 = 2(x + -3) + -8x Reorder the terms: -20 + 3 + -4x = 2(x + -3) + -8x Combine like terms: -20 + 3 = -17 -17 + -4x = 2(x + -3) + -8x Reorder the terms: -17 + -4x = 2(-3 + x) + -8x -17 + -4x = (-3 * 2 + x * 2) + -8x -17 + -4x = (-6 + 2x) + -8x Combine like terms: 2x + -8x = -6x -17 + -4x = -6 + -6x Solving -17 + -4x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -17 + -4x + 6x = -6 + -6x + 6x Combine like terms: -4x + 6x = 2x -17 + 2x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + 2x = -6 + 0 -17 + 2x = -6 Add '17' to each side of the equation. -17 + 17 + 2x = -6 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -6 + 17 2x = -6 + 17 Combine like terms: -6 + 17 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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