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Simplifying 3 + -2[5 + -3(x + 1)] = 4x + -10 Reorder the terms: 3 + -2[5 + -3(1 + x)] = 4x + -10 3 + -2[5 + (1 * -3 + x * -3)] = 4x + -10 3 + -2[5 + (-3 + -3x)] = 4x + -10 Combine like terms: 5 + -3 = 2 3 + -2[2 + -3x] = 4x + -10 3 + [2 * -2 + -3x * -2] = 4x + -10 3 + [-4 + 6x] = 4x + -10 Combine like terms: 3 + -4 = -1 -1 + 6x = 4x + -10 Reorder the terms: -1 + 6x = -10 + 4x Solving -1 + 6x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 6x + -4x = -10 + 4x + -4x Combine like terms: 6x + -4x = 2x -1 + 2x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 2x = -10 + 0 -1 + 2x = -10 Add '1' to each side of the equation. -1 + 1 + 2x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -10 + 1 2x = -10 + 1 Combine like terms: -10 + 1 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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