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Simplifying -2[x + 3(5 + -1x)] + -5(x + -7) = 0 -2[x + (5 * 3 + -1x * 3)] + -5(x + -7) = 0 -2[x + (15 + -3x)] + -5(x + -7) = 0 Reorder the terms: -2[15 + x + -3x] + -5(x + -7) = 0 Combine like terms: x + -3x = -2x -2[15 + -2x] + -5(x + -7) = 0 [15 * -2 + -2x * -2] + -5(x + -7) = 0 [-30 + 4x] + -5(x + -7) = 0 Reorder the terms: -30 + 4x + -5(-7 + x) = 0 -30 + 4x + (-7 * -5 + x * -5) = 0 -30 + 4x + (35 + -5x) = 0 Reorder the terms: -30 + 35 + 4x + -5x = 0 Combine like terms: -30 + 35 = 5 5 + 4x + -5x = 0 Combine like terms: 4x + -5x = -1x 5 + -1x = 0 Solving 5 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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