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Simplifying 1 + -4(6x + 8) = 32 + -3x Reorder the terms: 1 + -4(8 + 6x) = 32 + -3x 1 + (8 * -4 + 6x * -4) = 32 + -3x 1 + (-32 + -24x) = 32 + -3x Combine like terms: 1 + -32 = -31 -31 + -24x = 32 + -3x Solving -31 + -24x = 32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -31 + -24x + 3x = 32 + -3x + 3x Combine like terms: -24x + 3x = -21x -31 + -21x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -31 + -21x = 32 + 0 -31 + -21x = 32 Add '31' to each side of the equation. -31 + 31 + -21x = 32 + 31 Combine like terms: -31 + 31 = 0 0 + -21x = 32 + 31 -21x = 32 + 31 Combine like terms: 32 + 31 = 63 -21x = 63 Divide each side by '-21'. x = -3 Simplifying x = -3
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