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Simplifying 1 + -2x + 6x + 10 = 8(x + 3) + -1(1 + 5x) Reorder the terms: 1 + 10 + -2x + 6x = 8(x + 3) + -1(1 + 5x) Combine like terms: 1 + 10 = 11 11 + -2x + 6x = 8(x + 3) + -1(1 + 5x) Combine like terms: -2x + 6x = 4x 11 + 4x = 8(x + 3) + -1(1 + 5x) Reorder the terms: 11 + 4x = 8(3 + x) + -1(1 + 5x) 11 + 4x = (3 * 8 + x * 8) + -1(1 + 5x) 11 + 4x = (24 + 8x) + -1(1 + 5x) 11 + 4x = 24 + 8x + (1 * -1 + 5x * -1) 11 + 4x = 24 + 8x + (-1 + -5x) Reorder the terms: 11 + 4x = 24 + -1 + 8x + -5x Combine like terms: 24 + -1 = 23 11 + 4x = 23 + 8x + -5x Combine like terms: 8x + -5x = 3x 11 + 4x = 23 + 3x Solving 11 + 4x = 23 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + 4x + -3x = 23 + 3x + -3x Combine like terms: 4x + -3x = 1x 11 + 1x = 23 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + 1x = 23 + 0 11 + 1x = 23 Add '-11' to each side of the equation. 11 + -11 + 1x = 23 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 23 + -11 1x = 23 + -11 Combine like terms: 23 + -11 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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