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Simplifying 7(x + 4) = -2(2x + -5) + 7x Reorder the terms: 7(4 + x) = -2(2x + -5) + 7x (4 * 7 + x * 7) = -2(2x + -5) + 7x (28 + 7x) = -2(2x + -5) + 7x Reorder the terms: 28 + 7x = -2(-5 + 2x) + 7x 28 + 7x = (-5 * -2 + 2x * -2) + 7x 28 + 7x = (10 + -4x) + 7x Combine like terms: -4x + 7x = 3x 28 + 7x = 10 + 3x Solving 28 + 7x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + 7x + -3x = 10 + 3x + -3x Combine like terms: 7x + -3x = 4x 28 + 4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + 4x = 10 + 0 28 + 4x = 10 Add '-28' to each side of the equation. 28 + -28 + 4x = 10 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 10 + -28 4x = 10 + -28 Combine like terms: 10 + -28 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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