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Simplifying 3[4 + 6(-4x + 9) + -7x] + 18x = 4 + -2[3x + -5(2 + -7x) + 9] Reorder the terms: 3[4 + 6(9 + -4x) + -7x] + 18x = 4 + -2[3x + -5(2 + -7x) + 9] 3[4 + (9 * 6 + -4x * 6) + -7x] + 18x = 4 + -2[3x + -5(2 + -7x) + 9] 3[4 + (54 + -24x) + -7x] + 18x = 4 + -2[3x + -5(2 + -7x) + 9] Combine like terms: 4 + 54 = 58 3[58 + -24x + -7x] + 18x = 4 + -2[3x + -5(2 + -7x) + 9] Combine like terms: -24x + -7x = -31x 3[58 + -31x] + 18x = 4 + -2[3x + -5(2 + -7x) + 9] [58 * 3 + -31x * 3] + 18x = 4 + -2[3x + -5(2 + -7x) + 9] [174 + -93x] + 18x = 4 + -2[3x + -5(2 + -7x) + 9] Combine like terms: -93x + 18x = -75x 174 + -75x = 4 + -2[3x + -5(2 + -7x) + 9] 174 + -75x = 4 + -2[3x + (2 * -5 + -7x * -5) + 9] 174 + -75x = 4 + -2[3x + (-10 + 35x) + 9] Reorder the terms: 174 + -75x = 4 + -2[-10 + 9 + 3x + 35x] Combine like terms: -10 + 9 = -1 174 + -75x = 4 + -2[-1 + 3x + 35x] Combine like terms: 3x + 35x = 38x 174 + -75x = 4 + -2[-1 + 38x] 174 + -75x = 4 + [-1 * -2 + 38x * -2] 174 + -75x = 4 + [2 + -76x] Combine like terms: 4 + 2 = 6 174 + -75x = 6 + -76x Solving 174 + -75x = 6 + -76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '76x' to each side of the equation. 174 + -75x + 76x = 6 + -76x + 76x Combine like terms: -75x + 76x = 1x 174 + 1x = 6 + -76x + 76x Combine like terms: -76x + 76x = 0 174 + 1x = 6 + 0 174 + 1x = 6 Add '-174' to each side of the equation. 174 + -174 + 1x = 6 + -174 Combine like terms: 174 + -174 = 0 0 + 1x = 6 + -174 1x = 6 + -174 Combine like terms: 6 + -174 = -168 1x = -168 Divide each side by '1'. x = -168 Simplifying x = -168
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