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Simplifying 4(x + 5) + -3(x + -9) + -7 = 0 Reorder the terms: 4(5 + x) + -3(x + -9) + -7 = 0 (5 * 4 + x * 4) + -3(x + -9) + -7 = 0 (20 + 4x) + -3(x + -9) + -7 = 0 Reorder the terms: 20 + 4x + -3(-9 + x) + -7 = 0 20 + 4x + (-9 * -3 + x * -3) + -7 = 0 20 + 4x + (27 + -3x) + -7 = 0 Reorder the terms: 20 + 27 + -7 + 4x + -3x = 0 Combine like terms: 20 + 27 = 47 47 + -7 + 4x + -3x = 0 Combine like terms: 47 + -7 = 40 40 + 4x + -3x = 0 Combine like terms: 4x + -3x = 1x 40 + 1x = 0 Solving 40 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 0 + -40 1x = 0 + -40 Combine like terms: 0 + -40 = -40 1x = -40 Divide each side by '1'. x = -40 Simplifying x = -40
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