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Simplifying 5x + -1(3x + -7) + -1[4 + -2x + -1(6x + -3)] = 10 Reorder the terms: 5x + -1(-7 + 3x) + -1[4 + -2x + -1(6x + -3)] = 10 5x + (-7 * -1 + 3x * -1) + -1[4 + -2x + -1(6x + -3)] = 10 5x + (7 + -3x) + -1[4 + -2x + -1(6x + -3)] = 10 Reorder the terms: 5x + 7 + -3x + -1[4 + -2x + -1(-3 + 6x)] = 10 5x + 7 + -3x + -1[4 + -2x + (-3 * -1 + 6x * -1)] = 10 5x + 7 + -3x + -1[4 + -2x + (3 + -6x)] = 10 Reorder the terms: 5x + 7 + -3x + -1[4 + 3 + -2x + -6x] = 10 Combine like terms: 4 + 3 = 7 5x + 7 + -3x + -1[7 + -2x + -6x] = 10 Combine like terms: -2x + -6x = -8x 5x + 7 + -3x + -1[7 + -8x] = 10 5x + 7 + -3x + [7 * -1 + -8x * -1] = 10 5x + 7 + -3x + [-7 + 8x] = 10 Reorder the terms: 7 + -7 + 5x + -3x + 8x = 10 Combine like terms: 7 + -7 = 0 0 + 5x + -3x + 8x = 10 5x + -3x + 8x = 10 Combine like terms: 5x + -3x = 2x 2x + 8x = 10 Combine like terms: 2x + 8x = 10x 10x = 10 Solving 10x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '10'. x = 1 Simplifying x = 1
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