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Simplifying 5x + -2[x + -3(7 + -1x)] = 3 + -2(x + -8) 5x + -2[x + (7 * -3 + -1x * -3)] = 3 + -2(x + -8) 5x + -2[x + (-21 + 3x)] = 3 + -2(x + -8) Reorder the terms: 5x + -2[-21 + x + 3x] = 3 + -2(x + -8) Combine like terms: x + 3x = 4x 5x + -2[-21 + 4x] = 3 + -2(x + -8) 5x + [-21 * -2 + 4x * -2] = 3 + -2(x + -8) 5x + [42 + -8x] = 3 + -2(x + -8) Reorder the terms: 42 + 5x + -8x = 3 + -2(x + -8) Combine like terms: 5x + -8x = -3x 42 + -3x = 3 + -2(x + -8) Reorder the terms: 42 + -3x = 3 + -2(-8 + x) 42 + -3x = 3 + (-8 * -2 + x * -2) 42 + -3x = 3 + (16 + -2x) Combine like terms: 3 + 16 = 19 42 + -3x = 19 + -2x Solving 42 + -3x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 42 + -3x + 2x = 19 + -2x + 2x Combine like terms: -3x + 2x = -1x 42 + -1x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + -1x = 19 + 0 42 + -1x = 19 Add '-42' to each side of the equation. 42 + -42 + -1x = 19 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 19 + -42 -1x = 19 + -42 Combine like terms: 19 + -42 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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