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Simplifying 4(2x + 5) + 5(3x + -7) = -38 Reorder the terms: 4(5 + 2x) + 5(3x + -7) = -38 (5 * 4 + 2x * 4) + 5(3x + -7) = -38 (20 + 8x) + 5(3x + -7) = -38 Reorder the terms: 20 + 8x + 5(-7 + 3x) = -38 20 + 8x + (-7 * 5 + 3x * 5) = -38 20 + 8x + (-35 + 15x) = -38 Reorder the terms: 20 + -35 + 8x + 15x = -38 Combine like terms: 20 + -35 = -15 -15 + 8x + 15x = -38 Combine like terms: 8x + 15x = 23x -15 + 23x = -38 Solving -15 + 23x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 23x = -38 + 15 Combine like terms: -15 + 15 = 0 0 + 23x = -38 + 15 23x = -38 + 15 Combine like terms: -38 + 15 = -23 23x = -23 Divide each side by '23'. x = -1 Simplifying x = -1
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