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Simplifying -4(2x + -3) + -5(-3x + 14) = 0 Reorder the terms: -4(-3 + 2x) + -5(-3x + 14) = 0 (-3 * -4 + 2x * -4) + -5(-3x + 14) = 0 (12 + -8x) + -5(-3x + 14) = 0 Reorder the terms: 12 + -8x + -5(14 + -3x) = 0 12 + -8x + (14 * -5 + -3x * -5) = 0 12 + -8x + (-70 + 15x) = 0 Reorder the terms: 12 + -70 + -8x + 15x = 0 Combine like terms: 12 + -70 = -58 -58 + -8x + 15x = 0 Combine like terms: -8x + 15x = 7x -58 + 7x = 0 Solving -58 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 7x = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 7x = 0 + 58 7x = 0 + 58 Combine like terms: 0 + 58 = 58 7x = 58 Divide each side by '7'. x = 8.285714286 Simplifying x = 8.285714286
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