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Simplifying 4(x + 2) + -36 = 14 + -2x Reorder the terms: 4(2 + x) + -36 = 14 + -2x (2 * 4 + x * 4) + -36 = 14 + -2x (8 + 4x) + -36 = 14 + -2x Reorder the terms: 8 + -36 + 4x = 14 + -2x Combine like terms: 8 + -36 = -28 -28 + 4x = 14 + -2x Solving -28 + 4x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -28 + 4x + 2x = 14 + -2x + 2x Combine like terms: 4x + 2x = 6x -28 + 6x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -28 + 6x = 14 + 0 -28 + 6x = 14 Add '28' to each side of the equation. -28 + 28 + 6x = 14 + 28 Combine like terms: -28 + 28 = 0 0 + 6x = 14 + 28 6x = 14 + 28 Combine like terms: 14 + 28 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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