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Simplifying 2[x + -1(-3 + -1x) + -3x] = 4(5 + -1x) 2[x + (-3 * -1 + -1x * -1) + -3x] = 4(5 + -1x) 2[x + (3 + 1x) + -3x] = 4(5 + -1x) Reorder the terms: 2[3 + x + 1x + -3x] = 4(5 + -1x) Combine like terms: x + 1x = 2x 2[3 + 2x + -3x] = 4(5 + -1x) Combine like terms: 2x + -3x = -1x 2[3 + -1x] = 4(5 + -1x) [3 * 2 + -1x * 2] = 4(5 + -1x) [6 + -2x] = 4(5 + -1x) 6 + -2x = (5 * 4 + -1x * 4) 6 + -2x = (20 + -4x) Solving 6 + -2x = 20 + -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. 6 + -2x + 4x = 20 + -4x + 4x Combine like terms: -2x + 4x = 2x 6 + 2x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 2x = 20 + 0 6 + 2x = 20 Add '-6' to each side of the equation. 6 + -6 + 2x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 20 + -6 2x = 20 + -6 Combine like terms: 20 + -6 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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