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Simplifying 6[x + -9(x + -1)] + 4[2x + 3(2x + -5)] = 0 Reorder the terms: 6[x + -9(-1 + x)] + 4[2x + 3(2x + -5)] = 0 6[x + (-1 * -9 + x * -9)] + 4[2x + 3(2x + -5)] = 0 6[x + (9 + -9x)] + 4[2x + 3(2x + -5)] = 0 Reorder the terms: 6[9 + x + -9x] + 4[2x + 3(2x + -5)] = 0 Combine like terms: x + -9x = -8x 6[9 + -8x] + 4[2x + 3(2x + -5)] = 0 [9 * 6 + -8x * 6] + 4[2x + 3(2x + -5)] = 0 [54 + -48x] + 4[2x + 3(2x + -5)] = 0 Reorder the terms: 54 + -48x + 4[2x + 3(-5 + 2x)] = 0 54 + -48x + 4[2x + (-5 * 3 + 2x * 3)] = 0 54 + -48x + 4[2x + (-15 + 6x)] = 0 Reorder the terms: 54 + -48x + 4[-15 + 2x + 6x] = 0 Combine like terms: 2x + 6x = 8x 54 + -48x + 4[-15 + 8x] = 0 54 + -48x + [-15 * 4 + 8x * 4] = 0 54 + -48x + [-60 + 32x] = 0 Reorder the terms: 54 + -60 + -48x + 32x = 0 Combine like terms: 54 + -60 = -6 -6 + -48x + 32x = 0 Combine like terms: -48x + 32x = -16x -6 + -16x = 0 Solving -6 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -16x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -16x = 0 + 6 -16x = 0 + 6 Combine like terms: 0 + 6 = 6 -16x = 6 Divide each side by '-16'. x = -0.375 Simplifying x = -0.375
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