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Simplifying 5x + -2[4x + 3(x + -1)] = 3(10 + -1x) Reorder the terms: 5x + -2[4x + 3(-1 + x)] = 3(10 + -1x) 5x + -2[4x + (-1 * 3 + x * 3)] = 3(10 + -1x) 5x + -2[4x + (-3 + 3x)] = 3(10 + -1x) Reorder the terms: 5x + -2[-3 + 4x + 3x] = 3(10 + -1x) Combine like terms: 4x + 3x = 7x 5x + -2[-3 + 7x] = 3(10 + -1x) 5x + [-3 * -2 + 7x * -2] = 3(10 + -1x) 5x + [6 + -14x] = 3(10 + -1x) Reorder the terms: 6 + 5x + -14x = 3(10 + -1x) Combine like terms: 5x + -14x = -9x 6 + -9x = 3(10 + -1x) 6 + -9x = (10 * 3 + -1x * 3) 6 + -9x = (30 + -3x) Solving 6 + -9x = 30 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + -9x + 3x = 30 + -3x + 3x Combine like terms: -9x + 3x = -6x 6 + -6x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -6x = 30 + 0 6 + -6x = 30 Add '-6' to each side of the equation. 6 + -6 + -6x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 30 + -6 -6x = 30 + -6 Combine like terms: 30 + -6 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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