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