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Simplifying 2x(5 + 9) + -3(x + -15) + 4x(3) + -8x = 0 Combine like terms: 5 + 9 = 14 2x(14) + -3(x + -15) + 4x(3) + -8x = 0 Reorder the terms for easier multiplication: 2 * 14x + -3(x + -15) + 4x(3) + -8x = 0 Multiply 2 * 14 28x + -3(x + -15) + 4x(3) + -8x = 0 Reorder the terms: 28x + -3(-15 + x) + 4x(3) + -8x = 0 28x + (-15 * -3 + x * -3) + 4x(3) + -8x = 0 28x + (45 + -3x) + 4x(3) + -8x = 0 Reorder the terms for easier multiplication: 28x + 45 + -3x + 4 * 3x + -8x = 0 Multiply 4 * 3 28x + 45 + -3x + 12x + -8x = 0 Reorder the terms: 45 + 28x + -3x + 12x + -8x = 0 Combine like terms: 28x + -3x = 25x 45 + 25x + 12x + -8x = 0 Combine like terms: 25x + 12x = 37x 45 + 37x + -8x = 0 Combine like terms: 37x + -8x = 29x 45 + 29x = 0 Solving 45 + 29x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 29x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 29x = 0 + -45 29x = 0 + -45 Combine like terms: 0 + -45 = -45 29x = -45 Divide each side by '29'. x = -1.551724138 Simplifying x = -1.551724138
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