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Simplifying 7[2(x + -3) + x] = 4[1 + -3(x + 2)] Reorder the terms: 7[2(-3 + x) + x] = 4[1 + -3(x + 2)] 7[(-3 * 2 + x * 2) + x] = 4[1 + -3(x + 2)] 7[(-6 + 2x) + x] = 4[1 + -3(x + 2)] Combine like terms: 2x + x = 3x 7[-6 + 3x] = 4[1 + -3(x + 2)] [-6 * 7 + 3x * 7] = 4[1 + -3(x + 2)] [-42 + 21x] = 4[1 + -3(x + 2)] Reorder the terms: -42 + 21x = 4[1 + -3(2 + x)] -42 + 21x = 4[1 + (2 * -3 + x * -3)] -42 + 21x = 4[1 + (-6 + -3x)] Combine like terms: 1 + -6 = -5 -42 + 21x = 4[-5 + -3x] -42 + 21x = [-5 * 4 + -3x * 4] -42 + 21x = [-20 + -12x] Solving -42 + 21x = -20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -42 + 21x + 12x = -20 + -12x + 12x Combine like terms: 21x + 12x = 33x -42 + 33x = -20 + -12x + 12x Combine like terms: -12x + 12x = 0 -42 + 33x = -20 + 0 -42 + 33x = -20 Add '42' to each side of the equation. -42 + 42 + 33x = -20 + 42 Combine like terms: -42 + 42 = 0 0 + 33x = -20 + 42 33x = -20 + 42 Combine like terms: -20 + 42 = 22 33x = 22 Divide each side by '33'. x = 0.6666666667 Simplifying x = 0.6666666667
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