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Simplifying 2 + -1(x + 1) + 6(x + 2) = 7(x + 3) Reorder the terms: 2 + -1(1 + x) + 6(x + 2) = 7(x + 3) 2 + (1 * -1 + x * -1) + 6(x + 2) = 7(x + 3) 2 + (-1 + -1x) + 6(x + 2) = 7(x + 3) Reorder the terms: 2 + -1 + -1x + 6(2 + x) = 7(x + 3) 2 + -1 + -1x + (2 * 6 + x * 6) = 7(x + 3) 2 + -1 + -1x + (12 + 6x) = 7(x + 3) Reorder the terms: 2 + -1 + 12 + -1x + 6x = 7(x + 3) Combine like terms: 2 + -1 = 1 1 + 12 + -1x + 6x = 7(x + 3) Combine like terms: 1 + 12 = 13 13 + -1x + 6x = 7(x + 3) Combine like terms: -1x + 6x = 5x 13 + 5x = 7(x + 3) Reorder the terms: 13 + 5x = 7(3 + x) 13 + 5x = (3 * 7 + x * 7) 13 + 5x = (21 + 7x) Solving 13 + 5x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + 5x + -7x = 21 + 7x + -7x Combine like terms: 5x + -7x = -2x 13 + -2x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -2x = 21 + 0 13 + -2x = 21 Add '-13' to each side of the equation. 13 + -13 + -2x = 21 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 21 + -13 -2x = 21 + -13 Combine like terms: 21 + -13 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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