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Simplifying [5 + -4(3x + 3) + 3(5x + -3)] = 0 Reorder the terms: [5 + -4(3 + 3x) + 3(5x + -3)] = 0 [5 + (3 * -4 + 3x * -4) + 3(5x + -3)] = 0 [5 + (-12 + -12x) + 3(5x + -3)] = 0 Reorder the terms: [5 + -12 + -12x + 3(-3 + 5x)] = 0 [5 + -12 + -12x + (-3 * 3 + 5x * 3)] = 0 [5 + -12 + -12x + (-9 + 15x)] = 0 Reorder the terms: [5 + -12 + -9 + -12x + 15x] = 0 Combine like terms: 5 + -12 = -7 [-7 + -9 + -12x + 15x] = 0 Combine like terms: -7 + -9 = -16 [-16 + -12x + 15x] = 0 Combine like terms: -12x + 15x = 3x [-16 + 3x] = 0 Remove brackets around [-16 + 3x] -16 + 3x = 0 Solving -16 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 3x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 0 + 16 3x = 0 + 16 Combine like terms: 0 + 16 = 16 3x = 16 Divide each side by '3'. x = 5.333333333 Simplifying x = 5.333333333
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