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Simplifying 7(x + 4) + -2x = 10 + (4x + -2) Reorder the terms: 7(4 + x) + -2x = 10 + (4x + -2) (4 * 7 + x * 7) + -2x = 10 + (4x + -2) (28 + 7x) + -2x = 10 + (4x + -2) Combine like terms: 7x + -2x = 5x 28 + 5x = 10 + (4x + -2) Reorder the terms: 28 + 5x = 10 + (-2 + 4x) Remove parenthesis around (-2 + 4x) 28 + 5x = 10 + -2 + 4x Combine like terms: 10 + -2 = 8 28 + 5x = 8 + 4x Solving 28 + 5x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 28 + 5x + -4x = 8 + 4x + -4x Combine like terms: 5x + -4x = 1x 28 + 1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 1x = 8 + 0 28 + 1x = 8 Add '-28' to each side of the equation. 28 + -28 + 1x = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 8 + -28 1x = 8 + -28 Combine like terms: 8 + -28 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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