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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 = 16 16 + 3x = 5 + -1[4 + -1(x + 3)] Reorder the terms: 16 + 3x = 5 + -1[4 + -1(3 + x)] 16 + 3x = 5 + -1[4 + (3 * -1 + x * -1)] 16 + 3x = 5 + -1[4 + (-3 + -1x)] Combine like terms: 4 + -3 = 1 16 + 3x = 5 + -1[1 + -1x] 16 + 3x = 5 + [1 * -1 + -1x * -1] 16 + 3x = 5 + [-1 + 1x] Combine like terms: 5 + -1 = 4 16 + 3x = 4 + 1x Solving 16 + 3x = 4 + 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. 16 + 3x + -1x = 4 + 1x + -1x Combine like terms: 3x + -1x = 2x 16 + 2x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 16 + 2x = 4 + 0 16 + 2x = 4 Add '-16' to each side of the equation. 16 + -16 + 2x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 4 + -16 2x = 4 + -16 Combine like terms: 4 + -16 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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