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Simplifying 2(x + 7) + -14 = -4(x + -5) + 28 Reorder the terms: 2(7 + x) + -14 = -4(x + -5) + 28 (7 * 2 + x * 2) + -14 = -4(x + -5) + 28 (14 + 2x) + -14 = -4(x + -5) + 28 Reorder the terms: 14 + -14 + 2x = -4(x + -5) + 28 Combine like terms: 14 + -14 = 0 0 + 2x = -4(x + -5) + 28 2x = -4(x + -5) + 28 Reorder the terms: 2x = -4(-5 + x) + 28 2x = (-5 * -4 + x * -4) + 28 2x = (20 + -4x) + 28 Reorder the terms: 2x = 20 + 28 + -4x Combine like terms: 20 + 28 = 48 2x = 48 + -4x Solving 2x = 48 + -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. 2x + 4x = 48 + -4x + 4x Combine like terms: 2x + 4x = 6x 6x = 48 + -4x + 4x Combine like terms: -4x + 4x = 0 6x = 48 + 0 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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