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Simplifying 2(x + 5) + -2 = 4(x + -7) Reorder the terms: 2(5 + x) + -2 = 4(x + -7) (5 * 2 + x * 2) + -2 = 4(x + -7) (10 + 2x) + -2 = 4(x + -7) Reorder the terms: 10 + -2 + 2x = 4(x + -7) Combine like terms: 10 + -2 = 8 8 + 2x = 4(x + -7) Reorder the terms: 8 + 2x = 4(-7 + x) 8 + 2x = (-7 * 4 + x * 4) 8 + 2x = (-28 + 4x) Solving 8 + 2x = -28 + 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. 8 + 2x + -4x = -28 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -2x = -28 + 0 8 + -2x = -28 Add '-8' to each side of the equation. 8 + -8 + -2x = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -28 + -8 -2x = -28 + -8 Combine like terms: -28 + -8 = -36 -2x = -36 Divide each side by '-2'. x = 18 Simplifying x = 18
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