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Simplifying 12 + 3(x + -4) + -27 = 5[5 + -4(6 + -1x)] Reorder the terms: 12 + 3(-4 + x) + -27 = 5[5 + -4(6 + -1x)] 12 + (-4 * 3 + x * 3) + -27 = 5[5 + -4(6 + -1x)] 12 + (-12 + 3x) + -27 = 5[5 + -4(6 + -1x)] Reorder the terms: 12 + -12 + -27 + 3x = 5[5 + -4(6 + -1x)] Combine like terms: 12 + -12 = 0 0 + -27 + 3x = 5[5 + -4(6 + -1x)] -27 + 3x = 5[5 + -4(6 + -1x)] -27 + 3x = 5[5 + (6 * -4 + -1x * -4)] -27 + 3x = 5[5 + (-24 + 4x)] Combine like terms: 5 + -24 = -19 -27 + 3x = 5[-19 + 4x] -27 + 3x = [-19 * 5 + 4x * 5] -27 + 3x = [-95 + 20x] Solving -27 + 3x = -95 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -27 + 3x + -20x = -95 + 20x + -20x Combine like terms: 3x + -20x = -17x -27 + -17x = -95 + 20x + -20x Combine like terms: 20x + -20x = 0 -27 + -17x = -95 + 0 -27 + -17x = -95 Add '27' to each side of the equation. -27 + 27 + -17x = -95 + 27 Combine like terms: -27 + 27 = 0 0 + -17x = -95 + 27 -17x = -95 + 27 Combine like terms: -95 + 27 = -68 -17x = -68 Divide each side by '-17'. x = 4 Simplifying x = 4
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