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Simplifying 2[2(3x + -1) + 3] + -2(2x + 5) = 2(3x + -3) Reorder the terms: 2[2(-1 + 3x) + 3] + -2(2x + 5) = 2(3x + -3) 2[(-1 * 2 + 3x * 2) + 3] + -2(2x + 5) = 2(3x + -3) 2[(-2 + 6x) + 3] + -2(2x + 5) = 2(3x + -3) Reorder the terms: 2[-2 + 3 + 6x] + -2(2x + 5) = 2(3x + -3) Combine like terms: -2 + 3 = 1 2[1 + 6x] + -2(2x + 5) = 2(3x + -3) [1 * 2 + 6x * 2] + -2(2x + 5) = 2(3x + -3) [2 + 12x] + -2(2x + 5) = 2(3x + -3) Reorder the terms: 2 + 12x + -2(5 + 2x) = 2(3x + -3) 2 + 12x + (5 * -2 + 2x * -2) = 2(3x + -3) 2 + 12x + (-10 + -4x) = 2(3x + -3) Reorder the terms: 2 + -10 + 12x + -4x = 2(3x + -3) Combine like terms: 2 + -10 = -8 -8 + 12x + -4x = 2(3x + -3) Combine like terms: 12x + -4x = 8x -8 + 8x = 2(3x + -3) Reorder the terms: -8 + 8x = 2(-3 + 3x) -8 + 8x = (-3 * 2 + 3x * 2) -8 + 8x = (-6 + 6x) Solving -8 + 8x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 8x + -6x = -6 + 6x + -6x Combine like terms: 8x + -6x = 2x -8 + 2x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 2x = -6 + 0 -8 + 2x = -6 Add '8' to each side of the equation. -8 + 8 + 2x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -6 + 8 2x = -6 + 8 Combine like terms: -6 + 8 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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