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Simplifying 2x + -7 + 2(4 + 7) = -2(x + 4) Combine like terms: 4 + 7 = 11 2x + -7 + 2(11) = -2(x + 4) Multiply 2 * 11 2x + -7 + 22 = -2(x + 4) Reorder the terms: -7 + 22 + 2x = -2(x + 4) Combine like terms: -7 + 22 = 15 15 + 2x = -2(x + 4) Reorder the terms: 15 + 2x = -2(4 + x) 15 + 2x = (4 * -2 + x * -2) 15 + 2x = (-8 + -2x) Solving 15 + 2x = -8 + -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. 15 + 2x + 2x = -8 + -2x + 2x Combine like terms: 2x + 2x = 4x 15 + 4x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 4x = -8 + 0 15 + 4x = -8 Add '-15' to each side of the equation. 15 + -15 + 4x = -8 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = -8 + -15 4x = -8 + -15 Combine like terms: -8 + -15 = -23 4x = -23 Divide each side by '4'. x = -5.75 Simplifying x = -5.75
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