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Simplifying 2[7 + -7(1 + -1x)] + 4x = -16 + 3[6(x + 1) + -3x] 2[7 + (1 * -7 + -1x * -7)] + 4x = -16 + 3[6(x + 1) + -3x] 2[7 + (-7 + 7x)] + 4x = -16 + 3[6(x + 1) + -3x] Combine like terms: 7 + -7 = 0 2[0 + 7x] + 4x = -16 + 3[6(x + 1) + -3x] 2[7x] + 4x = -16 + 3[6(x + 1) + -3x] Remove brackets around [7x] 2 * 7x + 4x = -16 + 3[6(x + 1) + -3x] Multiply 2 * 7 14x + 4x = -16 + 3[6(x + 1) + -3x] Combine like terms: 14x + 4x = 18x 18x = -16 + 3[6(x + 1) + -3x] Reorder the terms: 18x = -16 + 3[6(1 + x) + -3x] 18x = -16 + 3[(1 * 6 + x * 6) + -3x] 18x = -16 + 3[(6 + 6x) + -3x] Combine like terms: 6x + -3x = 3x 18x = -16 + 3[6 + 3x] 18x = -16 + [6 * 3 + 3x * 3] 18x = -16 + [18 + 9x] Combine like terms: -16 + 18 = 2 18x = 2 + 9x Solving 18x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 18x + -9x = 2 + 9x + -9x Combine like terms: 18x + -9x = 9x 9x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 9x = 2 + 0 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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