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Simplifying 2[18 + -3(7x + -5)] = 3[5x + 2(9 + -4x)] Reorder the terms: 2[18 + -3(-5 + 7x)] = 3[5x + 2(9 + -4x)] 2[18 + (-5 * -3 + 7x * -3)] = 3[5x + 2(9 + -4x)] 2[18 + (15 + -21x)] = 3[5x + 2(9 + -4x)] Combine like terms: 18 + 15 = 33 2[33 + -21x] = 3[5x + 2(9 + -4x)] [33 * 2 + -21x * 2] = 3[5x + 2(9 + -4x)] [66 + -42x] = 3[5x + 2(9 + -4x)] 66 + -42x = 3[5x + (9 * 2 + -4x * 2)] 66 + -42x = 3[5x + (18 + -8x)] Reorder the terms: 66 + -42x = 3[18 + 5x + -8x] Combine like terms: 5x + -8x = -3x 66 + -42x = 3[18 + -3x] 66 + -42x = [18 * 3 + -3x * 3] 66 + -42x = [54 + -9x] Solving 66 + -42x = 54 + -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. 66 + -42x + 9x = 54 + -9x + 9x Combine like terms: -42x + 9x = -33x 66 + -33x = 54 + -9x + 9x Combine like terms: -9x + 9x = 0 66 + -33x = 54 + 0 66 + -33x = 54 Add '-66' to each side of the equation. 66 + -66 + -33x = 54 + -66 Combine like terms: 66 + -66 = 0 0 + -33x = 54 + -66 -33x = 54 + -66 Combine like terms: 54 + -66 = -12 -33x = -12 Divide each side by '-33'. x = 0.3636363636 Simplifying x = 0.3636363636
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