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Simplifying 5[-3(4x + 3) + 5(3x + -2)] = 0 Reorder the terms: 5[-3(3 + 4x) + 5(3x + -2)] = 0 5[(3 * -3 + 4x * -3) + 5(3x + -2)] = 0 5[(-9 + -12x) + 5(3x + -2)] = 0 Reorder the terms: 5[-9 + -12x + 5(-2 + 3x)] = 0 5[-9 + -12x + (-2 * 5 + 3x * 5)] = 0 5[-9 + -12x + (-10 + 15x)] = 0 Reorder the terms: 5[-9 + -10 + -12x + 15x] = 0 Combine like terms: -9 + -10 = -19 5[-19 + -12x + 15x] = 0 Combine like terms: -12x + 15x = 3x 5[-19 + 3x] = 0 [-19 * 5 + 3x * 5] = 0 [-95 + 15x] = 0 Solving -95 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '95' to each side of the equation. -95 + 95 + 15x = 0 + 95 Combine like terms: -95 + 95 = 0 0 + 15x = 0 + 95 15x = 0 + 95 Combine like terms: 0 + 95 = 95 15x = 95 Divide each side by '15'. x = 6.333333333 Simplifying x = 6.333333333
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