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Simplifying 4(8 + -1x) + 36 = 92 + -2(3x + 24) (8 * 4 + -1x * 4) + 36 = 92 + -2(3x + 24) (32 + -4x) + 36 = 92 + -2(3x + 24) Reorder the terms: 32 + 36 + -4x = 92 + -2(3x + 24) Combine like terms: 32 + 36 = 68 68 + -4x = 92 + -2(3x + 24) Reorder the terms: 68 + -4x = 92 + -2(24 + 3x) 68 + -4x = 92 + (24 * -2 + 3x * -2) 68 + -4x = 92 + (-48 + -6x) Combine like terms: 92 + -48 = 44 68 + -4x = 44 + -6x Solving 68 + -4x = 44 + -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. 68 + -4x + 6x = 44 + -6x + 6x Combine like terms: -4x + 6x = 2x 68 + 2x = 44 + -6x + 6x Combine like terms: -6x + 6x = 0 68 + 2x = 44 + 0 68 + 2x = 44 Add '-68' to each side of the equation. 68 + -68 + 2x = 44 + -68 Combine like terms: 68 + -68 = 0 0 + 2x = 44 + -68 2x = 44 + -68 Combine like terms: 44 + -68 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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