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Simplifying 2(x + -3) = 7(x + 1) Reorder the terms: 2(-3 + x) = 7(x + 1) (-3 * 2 + x * 2) = 7(x + 1) (-6 + 2x) = 7(x + 1) Reorder the terms: -6 + 2x = 7(1 + x) -6 + 2x = (1 * 7 + x * 7) -6 + 2x = (7 + 7x) Solving -6 + 2x = 7 + 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. -6 + 2x + -7x = 7 + 7x + -7x Combine like terms: 2x + -7x = -5x -6 + -5x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -5x = 7 + 0 -6 + -5x = 7 Add '6' to each side of the equation. -6 + 6 + -5x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 7 + 6 -5x = 7 + 6 Combine like terms: 7 + 6 = 13 -5x = 13 Divide each side by '-5'. x = -2.6 Simplifying x = -2.6
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