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Simplifying 4[5(4 + -2x + 3) + -3(8 + 9x + -4x)] = 0 Reorder the terms: 4[5(4 + 3 + -2x) + -3(8 + 9x + -4x)] = 0 Combine like terms: 4 + 3 = 7 4[5(7 + -2x) + -3(8 + 9x + -4x)] = 0 4[(7 * 5 + -2x * 5) + -3(8 + 9x + -4x)] = 0 4[(35 + -10x) + -3(8 + 9x + -4x)] = 0 Combine like terms: 9x + -4x = 5x 4[35 + -10x + -3(8 + 5x)] = 0 4[35 + -10x + (8 * -3 + 5x * -3)] = 0 4[35 + -10x + (-24 + -15x)] = 0 Reorder the terms: 4[35 + -24 + -10x + -15x] = 0 Combine like terms: 35 + -24 = 11 4[11 + -10x + -15x] = 0 Combine like terms: -10x + -15x = -25x 4[11 + -25x] = 0 [11 * 4 + -25x * 4] = 0 [44 + -100x] = 0 Solving 44 + -100x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -100x = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -100x = 0 + -44 -100x = 0 + -44 Combine like terms: 0 + -44 = -44 -100x = -44 Divide each side by '-100'. x = 0.44 Simplifying x = 0.44
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