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Simplifying -12(5x + 4) + -9 = 2(3x + -31) + 5 Reorder the terms: -12(4 + 5x) + -9 = 2(3x + -31) + 5 (4 * -12 + 5x * -12) + -9 = 2(3x + -31) + 5 (-48 + -60x) + -9 = 2(3x + -31) + 5 Reorder the terms: -48 + -9 + -60x = 2(3x + -31) + 5 Combine like terms: -48 + -9 = -57 -57 + -60x = 2(3x + -31) + 5 Reorder the terms: -57 + -60x = 2(-31 + 3x) + 5 -57 + -60x = (-31 * 2 + 3x * 2) + 5 -57 + -60x = (-62 + 6x) + 5 Reorder the terms: -57 + -60x = -62 + 5 + 6x Combine like terms: -62 + 5 = -57 -57 + -60x = -57 + 6x Add '57' to each side of the equation. -57 + 57 + -60x = -57 + 57 + 6x Combine like terms: -57 + 57 = 0 0 + -60x = -57 + 57 + 6x -60x = -57 + 57 + 6x Combine like terms: -57 + 57 = 0 -60x = 0 + 6x -60x = 6x Solving -60x = 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. -60x + -6x = 6x + -6x Combine like terms: -60x + -6x = -66x -66x = 6x + -6x Combine like terms: 6x + -6x = 0 -66x = 0 Divide each side by '-66'. x = 0 Simplifying x = 0
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