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Simplifying 2x + -7 = 4(x + 4) + 11 Reorder the terms: -7 + 2x = 4(x + 4) + 11 Reorder the terms: -7 + 2x = 4(4 + x) + 11 -7 + 2x = (4 * 4 + x * 4) + 11 -7 + 2x = (16 + 4x) + 11 Reorder the terms: -7 + 2x = 16 + 11 + 4x Combine like terms: 16 + 11 = 27 -7 + 2x = 27 + 4x Solving -7 + 2x = 27 + 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. -7 + 2x + -4x = 27 + 4x + -4x Combine like terms: 2x + -4x = -2x -7 + -2x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -2x = 27 + 0 -7 + -2x = 27 Add '7' to each side of the equation. -7 + 7 + -2x = 27 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 27 + 7 -2x = 27 + 7 Combine like terms: 27 + 7 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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