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Simplifying 2(x + -3) + 2(x + 7) = 7x Reorder the terms: 2(-3 + x) + 2(x + 7) = 7x (-3 * 2 + x * 2) + 2(x + 7) = 7x (-6 + 2x) + 2(x + 7) = 7x Reorder the terms: -6 + 2x + 2(7 + x) = 7x -6 + 2x + (7 * 2 + x * 2) = 7x -6 + 2x + (14 + 2x) = 7x Reorder the terms: -6 + 14 + 2x + 2x = 7x Combine like terms: -6 + 14 = 8 8 + 2x + 2x = 7x Combine like terms: 2x + 2x = 4x 8 + 4x = 7x Solving 8 + 4x = 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. 8 + 4x + -7x = 7x + -7x Combine like terms: 4x + -7x = -3x 8 + -3x = 7x + -7x Combine like terms: 7x + -7x = 0 8 + -3x = 0 Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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