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