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Simplifying 2(x + 1) = 6(x + -3) + -7x + 11 Reorder the terms: 2(1 + x) = 6(x + -3) + -7x + 11 (1 * 2 + x * 2) = 6(x + -3) + -7x + 11 (2 + 2x) = 6(x + -3) + -7x + 11 Reorder the terms: 2 + 2x = 6(-3 + x) + -7x + 11 2 + 2x = (-3 * 6 + x * 6) + -7x + 11 2 + 2x = (-18 + 6x) + -7x + 11 Reorder the terms: 2 + 2x = -18 + 11 + 6x + -7x Combine like terms: -18 + 11 = -7 2 + 2x = -7 + 6x + -7x Combine like terms: 6x + -7x = -1x 2 + 2x = -7 + -1x Solving 2 + 2x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 2x + x = -7 + -1x + x Combine like terms: 2x + x = 3x 2 + 3x = -7 + -1x + x Combine like terms: -1x + x = 0 2 + 3x = -7 + 0 2 + 3x = -7 Add '-2' to each side of the equation. 2 + -2 + 3x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -7 + -2 3x = -7 + -2 Combine like terms: -7 + -2 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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