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Simplifying 4 + -3x + 2[x + 2(x + 1) + -10] = x + 8 Reorder the terms: 4 + -3x + 2[x + 2(1 + x) + -10] = x + 8 4 + -3x + 2[x + (1 * 2 + x * 2) + -10] = x + 8 4 + -3x + 2[x + (2 + 2x) + -10] = x + 8 Reorder the terms: 4 + -3x + 2[2 + -10 + x + 2x] = x + 8 Combine like terms: 2 + -10 = -8 4 + -3x + 2[-8 + x + 2x] = x + 8 Combine like terms: x + 2x = 3x 4 + -3x + 2[-8 + 3x] = x + 8 4 + -3x + [-8 * 2 + 3x * 2] = x + 8 4 + -3x + [-16 + 6x] = x + 8 Reorder the terms: 4 + -16 + -3x + 6x = x + 8 Combine like terms: 4 + -16 = -12 -12 + -3x + 6x = x + 8 Combine like terms: -3x + 6x = 3x -12 + 3x = x + 8 Reorder the terms: -12 + 3x = 8 + x Solving -12 + 3x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 3x + -1x = 8 + x + -1x Combine like terms: 3x + -1x = 2x -12 + 2x = 8 + x + -1x Combine like terms: x + -1x = 0 -12 + 2x = 8 + 0 -12 + 2x = 8 Add '12' to each side of the equation. -12 + 12 + 2x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 8 + 12 2x = 8 + 12 Combine like terms: 8 + 12 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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