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Simplifying 5(2x + 3) + 4(x + -7) = 0 Reorder the terms: 5(3 + 2x) + 4(x + -7) = 0 (3 * 5 + 2x * 5) + 4(x + -7) = 0 (15 + 10x) + 4(x + -7) = 0 Reorder the terms: 15 + 10x + 4(-7 + x) = 0 15 + 10x + (-7 * 4 + x * 4) = 0 15 + 10x + (-28 + 4x) = 0 Reorder the terms: 15 + -28 + 10x + 4x = 0 Combine like terms: 15 + -28 = -13 -13 + 10x + 4x = 0 Combine like terms: 10x + 4x = 14x -13 + 14x = 0 Solving -13 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 14x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 14x = 0 + 13 14x = 0 + 13 Combine like terms: 0 + 13 = 13 14x = 13 Divide each side by '14'. x = 0.9285714286 Simplifying x = 0.9285714286
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