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Simplifying 35 + -5x + -7 = 4(2 + x) + 2 Reorder the terms: 35 + -7 + -5x = 4(2 + x) + 2 Combine like terms: 35 + -7 = 28 28 + -5x = 4(2 + x) + 2 28 + -5x = (2 * 4 + x * 4) + 2 28 + -5x = (8 + 4x) + 2 Reorder the terms: 28 + -5x = 8 + 2 + 4x Combine like terms: 8 + 2 = 10 28 + -5x = 10 + 4x Solving 28 + -5x = 10 + 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 = 10 + 4x + -4x Combine like terms: -5x + -4x = -9x 28 + -9x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + -9x = 10 + 0 28 + -9x = 10 Add '-28' to each side of the equation. 28 + -28 + -9x = 10 + -28 Combine like terms: 28 + -28 = 0 0 + -9x = 10 + -28 -9x = 10 + -28 Combine like terms: 10 + -28 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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