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Simplifying 5 + -3(3x + 1) = 4x + 4(x + -8) Reorder the terms: 5 + -3(1 + 3x) = 4x + 4(x + -8) 5 + (1 * -3 + 3x * -3) = 4x + 4(x + -8) 5 + (-3 + -9x) = 4x + 4(x + -8) Combine like terms: 5 + -3 = 2 2 + -9x = 4x + 4(x + -8) Reorder the terms: 2 + -9x = 4x + 4(-8 + x) 2 + -9x = 4x + (-8 * 4 + x * 4) 2 + -9x = 4x + (-32 + 4x) Reorder the terms: 2 + -9x = -32 + 4x + 4x Combine like terms: 4x + 4x = 8x 2 + -9x = -32 + 8x Solving 2 + -9x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -9x + -8x = -32 + 8x + -8x Combine like terms: -9x + -8x = -17x 2 + -17x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -17x = -32 + 0 2 + -17x = -32 Add '-2' to each side of the equation. 2 + -2 + -17x = -32 + -2 Combine like terms: 2 + -2 = 0 0 + -17x = -32 + -2 -17x = -32 + -2 Combine like terms: -32 + -2 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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