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Simplifying 7x + -3[2 + -1(5 + -1x)] = 10x + -3 7x + -3[2 + (5 * -1 + -1x * -1)] = 10x + -3 7x + -3[2 + (-5 + 1x)] = 10x + -3 Combine like terms: 2 + -5 = -3 7x + -3[-3 + 1x] = 10x + -3 7x + [-3 * -3 + 1x * -3] = 10x + -3 7x + [9 + -3x] = 10x + -3 Reorder the terms: 9 + 7x + -3x = 10x + -3 Combine like terms: 7x + -3x = 4x 9 + 4x = 10x + -3 Reorder the terms: 9 + 4x = -3 + 10x Solving 9 + 4x = -3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 9 + 4x + -10x = -3 + 10x + -10x Combine like terms: 4x + -10x = -6x 9 + -6x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -6x = -3 + 0 9 + -6x = -3 Add '-9' to each side of the equation. 9 + -9 + -6x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -3 + -9 -6x = -3 + -9 Combine like terms: -3 + -9 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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