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Simplifying 4(2x + -3) + -3(5x + -1) = 0 Reorder the terms: 4(-3 + 2x) + -3(5x + -1) = 0 (-3 * 4 + 2x * 4) + -3(5x + -1) = 0 (-12 + 8x) + -3(5x + -1) = 0 Reorder the terms: -12 + 8x + -3(-1 + 5x) = 0 -12 + 8x + (-1 * -3 + 5x * -3) = 0 -12 + 8x + (3 + -15x) = 0 Reorder the terms: -12 + 3 + 8x + -15x = 0 Combine like terms: -12 + 3 = -9 -9 + 8x + -15x = 0 Combine like terms: 8x + -15x = -7x -9 + -7x = 0 Solving -9 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = 0 + 9 -7x = 0 + 9 Combine like terms: 0 + 9 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286
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