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Simplifying 2(x + 4) = -7(x + -3) + 2 Reorder the terms: 2(4 + x) = -7(x + -3) + 2 (4 * 2 + x * 2) = -7(x + -3) + 2 (8 + 2x) = -7(x + -3) + 2 Reorder the terms: 8 + 2x = -7(-3 + x) + 2 8 + 2x = (-3 * -7 + x * -7) + 2 8 + 2x = (21 + -7x) + 2 Reorder the terms: 8 + 2x = 21 + 2 + -7x Combine like terms: 21 + 2 = 23 8 + 2x = 23 + -7x Solving 8 + 2x = 23 + -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 + 2x + 7x = 23 + -7x + 7x Combine like terms: 2x + 7x = 9x 8 + 9x = 23 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 9x = 23 + 0 8 + 9x = 23 Add '-8' to each side of the equation. 8 + -8 + 9x = 23 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 23 + -8 9x = 23 + -8 Combine like terms: 23 + -8 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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