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Simplifying 3 + -2[4 + 2(3x + -5)] = 1 + 3[5 + -3(4 + -1x)] Reorder the terms: 3 + -2[4 + 2(-5 + 3x)] = 1 + 3[5 + -3(4 + -1x)] 3 + -2[4 + (-5 * 2 + 3x * 2)] = 1 + 3[5 + -3(4 + -1x)] 3 + -2[4 + (-10 + 6x)] = 1 + 3[5 + -3(4 + -1x)] Combine like terms: 4 + -10 = -6 3 + -2[-6 + 6x] = 1 + 3[5 + -3(4 + -1x)] 3 + [-6 * -2 + 6x * -2] = 1 + 3[5 + -3(4 + -1x)] 3 + [12 + -12x] = 1 + 3[5 + -3(4 + -1x)] Combine like terms: 3 + 12 = 15 15 + -12x = 1 + 3[5 + -3(4 + -1x)] 15 + -12x = 1 + 3[5 + (4 * -3 + -1x * -3)] 15 + -12x = 1 + 3[5 + (-12 + 3x)] Combine like terms: 5 + -12 = -7 15 + -12x = 1 + 3[-7 + 3x] 15 + -12x = 1 + [-7 * 3 + 3x * 3] 15 + -12x = 1 + [-21 + 9x] Combine like terms: 1 + -21 = -20 15 + -12x = -20 + 9x Solving 15 + -12x = -20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + -12x + -9x = -20 + 9x + -9x Combine like terms: -12x + -9x = -21x 15 + -21x = -20 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -21x = -20 + 0 15 + -21x = -20 Add '-15' to each side of the equation. 15 + -15 + -21x = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -21x = -20 + -15 -21x = -20 + -15 Combine like terms: -20 + -15 = -35 -21x = -35 Divide each side by '-21'. x = 1.666666667 Simplifying x = 1.666666667
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