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Simplifying 5x + -2(x + 4) = 7x + 11 + -4 Reorder the terms: 5x + -2(4 + x) = 7x + 11 + -4 5x + (4 * -2 + x * -2) = 7x + 11 + -4 5x + (-8 + -2x) = 7x + 11 + -4 Reorder the terms: -8 + 5x + -2x = 7x + 11 + -4 Combine like terms: 5x + -2x = 3x -8 + 3x = 7x + 11 + -4 Reorder the terms: -8 + 3x = 11 + -4 + 7x Combine like terms: 11 + -4 = 7 -8 + 3x = 7 + 7x Solving -8 + 3x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 3x + -7x = 7 + 7x + -7x Combine like terms: 3x + -7x = -4x -8 + -4x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -4x = 7 + 0 -8 + -4x = 7 Add '8' to each side of the equation. -8 + 8 + -4x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 7 + 8 -4x = 7 + 8 Combine like terms: 7 + 8 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75
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