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Simplifying 6x + 2[3(x + -2) + -2(x + -3)] + 4x = 6 + -3(4 + -2x) Reorder the terms: 6x + 2[3(-2 + x) + -2(x + -3)] + 4x = 6 + -3(4 + -2x) 6x + 2[(-2 * 3 + x * 3) + -2(x + -3)] + 4x = 6 + -3(4 + -2x) 6x + 2[(-6 + 3x) + -2(x + -3)] + 4x = 6 + -3(4 + -2x) Reorder the terms: 6x + 2[-6 + 3x + -2(-3 + x)] + 4x = 6 + -3(4 + -2x) 6x + 2[-6 + 3x + (-3 * -2 + x * -2)] + 4x = 6 + -3(4 + -2x) 6x + 2[-6 + 3x + (6 + -2x)] + 4x = 6 + -3(4 + -2x) Reorder the terms: 6x + 2[-6 + 6 + 3x + -2x] + 4x = 6 + -3(4 + -2x) Combine like terms: -6 + 6 = 0 6x + 2[0 + 3x + -2x] + 4x = 6 + -3(4 + -2x) 6x + 2[3x + -2x] + 4x = 6 + -3(4 + -2x) Combine like terms: 3x + -2x = 1x 6x + 2[1x] + 4x = 6 + -3(4 + -2x) Remove brackets around [1x] 6x + 2 * 1x + 4x = 6 + -3(4 + -2x) Multiply 2 * 1 6x + 2x + 4x = 6 + -3(4 + -2x) Combine like terms: 6x + 2x = 8x 8x + 4x = 6 + -3(4 + -2x) Combine like terms: 8x + 4x = 12x 12x = 6 + -3(4 + -2x) 12x = 6 + (4 * -3 + -2x * -3) 12x = 6 + (-12 + 6x) Combine like terms: 6 + -12 = -6 12x = -6 + 6x Solving 12x = -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. 12x + -6x = -6 + 6x + -6x Combine like terms: 12x + -6x = 6x 6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 6x = -6 + 0 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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