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Simplifying 3[x + 4(7 + -1x) + 27] + -10 = 74 + -12x 3[x + (7 * 4 + -1x * 4) + 27] + -10 = 74 + -12x 3[x + (28 + -4x) + 27] + -10 = 74 + -12x Reorder the terms: 3[28 + 27 + x + -4x] + -10 = 74 + -12x Combine like terms: 28 + 27 = 55 3[55 + x + -4x] + -10 = 74 + -12x Combine like terms: x + -4x = -3x 3[55 + -3x] + -10 = 74 + -12x [55 * 3 + -3x * 3] + -10 = 74 + -12x [165 + -9x] + -10 = 74 + -12x Reorder the terms: 165 + -10 + -9x = 74 + -12x Combine like terms: 165 + -10 = 155 155 + -9x = 74 + -12x Solving 155 + -9x = 74 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 155 + -9x + 12x = 74 + -12x + 12x Combine like terms: -9x + 12x = 3x 155 + 3x = 74 + -12x + 12x Combine like terms: -12x + 12x = 0 155 + 3x = 74 + 0 155 + 3x = 74 Add '-155' to each side of the equation. 155 + -155 + 3x = 74 + -155 Combine like terms: 155 + -155 = 0 0 + 3x = 74 + -155 3x = 74 + -155 Combine like terms: 74 + -155 = -81 3x = -81 Divide each side by '3'. x = -27 Simplifying x = -27
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